a boat takes 2 hours to travel 15 miles upstream against the current

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Thus, our two numbers are x and 2x+1. Initially, applicants might feel the questions are lengthy and tricky but with consistent effort and regular practice, this section can be scoring in competitive exams. Then is that fraction of the job that gets done in one hour. Problem 9. Train A has a speed 15 mi/hr greater than train B. Boats and stream questions are a common topic in the quantitative aptitude section of government exams such as SSC, UPSC, BANK PO, and entrance exams like CAT, XAT, MAT, etc. Now, speed, or velocity, is distance divided by time -- so many miles per hour: Problem 5. Then the speed of the car is It travels 150 miles upstream against the current then returns to the starting location. The same boat can travel 36 miles downstream in 3 hours. How many floor boards 2 1/4 inches wide are needed to cover a floor 15 feet wide? Same time problem: Upstream-Downstream. Set this equal to 7/10. We start by recalling the definition of the reciprocal of a number. Find the speed (mph) of Boriss kayak in still water. 2281 . Most questions answered within 4 hours. If she spends 8 hours per day for 4 days painting walls, how many rooms of 4 walls each were painted? Break up the middle term of the quadratic trinomial using this pair, then factor by grouping. Problem 6. Downstream- When the boat is flowing in the same direction as the stream, it is called Downstream. answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. These results are entered in Table \(\PageIndex{4}\). the boat, and the boat's speed will decrease by C miles per hour. Here is the guiding principle. Let x = In downstream it takes 3 hours to travel 36 km. That is, if x = 5/2, then its reciprocal is 2/5. by Martynabucytram11, Multiple Subject Credential Program we need to write our two equations. Find the rate of the current and the rate of the boat in still water. All boat and stream questions are not the same, they can be classified into 4 types distance, average speed, speed, and time-based questions. Against the same current, it can travel only 16 miles in 4 hours. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. How long will it take them if they work together? ------- Upstream DATA: distance = 12 miles ; rate = b-3 mph ; time = 12/ (b-3) hrs. If we divide both sides of the second equation by 3, If the faucet is running but the drain is open, how long will it take to fill the bathtub? Please verify. The last part of the equation is to subtract the travel time by boat from the time the party starts. A chef mixes his salt and pepper. No packages or subscriptions, pay only for the time you need. When a boat travels against the current, it travels upstream. Let c represent the speed of the current. What is the speed (in mph) of the current? Clearly, working together, Bill and Maria will complete 2/3 + 1/3 reports, that is, one full report. {\(\frac{2}{3}\), \(\frac{8}{3}\)} and {\(\frac{8}{5}\), \(\frac{2}{5}\)}. His speed of the boat in still water is 3 km/hr. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. A boat can travel 12 miles upstream in the same amount of time it takes to travel 18 miles downstream. The second number is 1 larger than twice the first number. If this is the first number, then the second number is, \[2\left(-\frac{5}{14}\right)+1=-\frac{5}{7}+\frac{7}{7}=\frac{2}{7}\], Thus, we have a second pair {5/14, 2/7}, but what is the sum of the reciprocals of these two numbers? CH2.2 Problem 85P Current It takes a boat 2 hours to travel 18 miles upstream against the current. A boat can travel 16 miles up a river in 2 hours. \[\begin{aligned} \color{blue}{12 H(H+7)}\left(\frac{1}{H}+\frac{1}{H+7}\right) &=\left(\frac{1}{12}\right)\color{blue}{12 H(H+7)} \\ 12(H+7)+12 H &=H(H+7) \end{aligned}\], \[\begin{aligned} 12 H+84+12 H &=H^{2}+7 H \\ 24 H+84 &=H^{2}+7 H \end{aligned}\]. Multiply both sides of this equation by the common denominator 12H(H + 7). Find the two numbers. Answer by josmiceli (19441) ( Show Source ): You can put this solution on YOUR website! A club has 4 Blue kites, 3 Green kites, and 3 Yellow kites. Delhi 110024, A-68, Sector 64, Noida, Q: It takes about 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. Save my name, email, and website in this browser for the next time I comment. Australia, Leverage Edu Tower, What proportion of the kites are blue? Stream- The water that is moving in the river is called a stream. Time going + Time returning = Total time. Lets try to use the ac-test to factor. Sophie Germain was born in Paris, France on April 1, 1776. How many hours will it take if they work together? To clear fractions from this equation, multiply both sides by the common denominator 10x. Here are the important terms every applicant should know: Also Read: Permutation And Combination For Competitive Exams. Uttar Pradesh 201301, Devonshire House, 60 Goswell Road, A nice application of rational functions involves the amount of work a person (or team of persons) can do in a certain amount of time. or 1/12 of a kitchen per hour. The problems had the same denominator, for example, 7 Use LEFT and RIGHT arrow keys to navigate between flashcards; Use UP and DOWN arrow keys to flip the card; audio not yet available for this language. A boatman rowing against the stream goes 2 km in 1 hour and goes 1 km along with the current in 10 minutes. Weve entered this data in Table \(\PageIndex{3}\). Solution. Lesson Plan A boat can travel 16 miles up a river in 2 hours. There are two numbers. Our chart now looks like . \[\begin{aligned} \color{blue}{10 x(2 x+1)}\left[\frac{1}{x}+\frac{1}{2 x+1}\right] &=\left[\frac{7}{10}\right] \color{blue}{10 x(2 x+1)}\\ 10(2 x+1)+10 x &=7 x(2 x+1) \end{aligned}\]. Required fields are marked *. Making educational experiences better for everyone. Example 4. __________________ 3. Get a free answer to a quick problem. Can you determine the speed of the current and answer? The integer pair {5, 28} has product 140 and sum 23. A boat takes 1.5 hour to go 12 mile upstream against the current. We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. Australia, Meet 75+ universities in Mumbai on 30th April, What is an idiom? for the B in any of our equations. Please sign in to share these flashcards. The total time of the trip is 6 hours. Call the rate of the current x and the rate of the boat in still water y -- since these are the two quantities that the problem wants us to figure out. 2 1/5 gallons were regular soda, and the rest was diet soda. The total time of the trip is 9 hours. No packages or subscriptions, pay only for the time you need. If we let c represent the speed of the current in the river, then the boats speed upstream (against the current) is 3 c, while the boats speed downstream (with the current) is 3 + c. Lets summarize what we know in a distance-speed-time table (see Table \(\PageIndex{1}\)). We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. Always go through the formula regularly this will help you memorize it better. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. (Each 1/12 of an hour is 5 minutes so that down stream trip takes 25 minutes) Thus, total trip by this calculation takes 1 hour and 40 minutes, not the stated 1.5 hours. Problem 13. A link to the app was sent to your phone. Find the speed of the freight train. The same boat can travel 36 miles downstream in 3 hours. }\]. Going up stream 5 miles at speed relative to shore of 8-4 = 4 mph takes 1.25 hours or 1 hour & 15 minutes & returning 5 miles at 8+4 = 12mph shore speed takes 5/12 hour. \[\begin{aligned} 3 t &=4 \\ t &=4 / 3 \end{aligned}\]. The speed of a boat in still water is 15 mi/hr. In the case of Table \(\PageIndex{5}\), we can calculate the rate at which Bill is working by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substitute Bills data from row one of Table \(\PageIndex{5}\). Hence, the sum of x and its reciprocal is represented by the rational expression x + 1/x. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? It takes Liya 7 hours longer than Hank to complete the kitchen, namely 28 hours, so she is finishing 1/28 of the kitchen per hour. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. Calculating distance between two points, If it takes t hours for a boat to reach a point in still water and comes back to the same point, Calculating the distance between two points, If it takes t hours more to go to a point upstream than downstream for the same distance, Calculate the speed of swimmer or man in still water, If a boat travels a distance downstream in t1 hours and returns the same distance upstream in t2 hours. Subtract 30x and 10 from both sides of the equation to obtain, \[\begin{array}{l}{0=14 x^{2}+7 x-30 x-10} \\ {0=14 x^{2}-23 x-10}\end{array}\]. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question Requested URL: byjus.com/govt-exams/boat-stream-questions/, User-Agent: Mozilla/5.0 (Windows NT 6.3; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.0.0 Safari/537.36. Find the two numbers. The trip each way is 150 miles. Note that the right-hand side of this equation is quadratic with ac = (14)(10) = 140. A boat travels at a constant speed of 3 miles per hour in still water. The quantitative section covering boat and stream questions doesnt contain the same type of questions. Therefore, The rate of current is, Hence, The required rate of current is 1.6. Boris can paddle his kayak at a speed of 6 mph in still water. Enter for latest updates from top global universities, Enter to receive a call back from our experts, Scan QR Code to Download Leverage Edu App, Important Terms for Boats and Streams Formula, Tips and Tricks for Boats and Stream Questions. What is the speed of the current in the river? It will take 30 hours to travel 60 miles at this rate. What is the speed of the current of the river? A little thought reveals that this result is nonsense. The rate of the current is 15 km/hour and the . A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes . be pushing the boat faster, and the boat's speed will increase by C miles Clearly, if they work together, it will take them less time than it takes Bill to complete the report alone; that is, the combined time will surely be less than 2 hours. Lets check our solution by taking the sum of the solution and its reciprocal. Ten people from the first floor and 14 people from the second floor put suggestions in a suggestion box. The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. The amount of work done is equal to the product of the rate at which work is being done and the amount of time required to do the work. A motorboat 5 hours to travel 100km upstream. Suppose that he can ca- noe 2 miles upstream in the same amount of time as it takes him to canoe 5 miles downstream. We will move everything to the right-hand side of this equation. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. We'll put 16 in our chart for the distance upstream, and we'll put 2 in whereas when traveling upstream it is 28 km/hr. Find the speed of the current. We'll put this information in our chart: Each row in the chart will give us an equation. How many hours will it take if they work together? Choose an expert and meet online. Signature Assignment for EDEL 462 A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. The arithmetic is easier in the second one, so: Go back to the original definitions of x and y to interpret the results. The return trip takes2. hours going downstream. The sum of the reciprocals of two consecutive integers is \(\frac{19}{90}\). Let x be how long will it take them if they work together. All rights reserved. A woman deposits $600 into an account that pays 5 1/4 interest per year. Without knowing the accurate boats and streams formula it is impossible for any applicant to solve the question. \[\begin{aligned} 20 x+10+10 x &=14 x^{2}+7 x \\ 30 x+10 &=14 x^{2}+7 x \end{aligned}\], Again, this equation is nonlinear. The resulting speed of the boat (traveling downstream) United Kingdom, EC1M 7AD, Leverage Edu ---------------- Downstream DATA: be represented by a different variable: Since we have two variables, we will need to find a system It takes Sanjay 7 hours to paint the same room. 2700 = ________________ 4. Problem. Besides testing the ability of the student, exams are important. answered 11/14/20. While returning because of water resistance, it took 1 hour 15 minutes to cover the same distance. Two people working together can complete a job in six hours. A boat travels 30 miles upstream in 5 hours. If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 10 miles downstream, what is the speed of the current? as required by the problem statement. Let x represent the first number. What is the speed of the current? x30. 19 . For Free. Find out how you can intelligently organize your Flashcards. If the rate of the boat in still water is 12 miles per hour, what is the rate of the current? However, they both lead to the same number-reciprocal pair. If the current of the river is 3miles per hour, complete the chart below and use it to find the speed of the boat in still water. Boris can paddle his kayak at a speed of 6 mph in still water. Jacob is canoeing in a river with a 5 mph current. A hiker follows a trail that goes from camp to lake. Boris is kayaking in a river with a 6 mph current. But the boat is not on a still lake; The reciprocal of x is 1/x. Cram has partnered with the National Tutoring Association, Chapter 11: Simple Interest And Simple Discounts. To organize our work, we'll make a chart of the distance, per hour. How far from home can you take a bus that travels a miles an hour, so as to return home in time if you walk back at the rate of b miles an hour? rate and time that the boat travels going both upstream and downstream. How many hours would it take Jean if she worked alone? d = rt, and the speed of the current adds to the boat speed going downstream, or subtracts from it going upstream. Find the number(s). Example The speed of the boat when traveling downstream is 32 km/hr. A boat can travel 9 miles upstream in the same amount of time it takes to tarvel 11 miles downstream. We'll bring you back here when you are done. Expand and simplify each side of this result. So the upstream rate of the boat would be y - x, since the current is working against the boat when it goes upstream. \[\begin{aligned}\color{blue}{(32-c)(32+c)}\left(\frac{150}{32-c}+\frac{150}{32+c}\right) &=10\color{blue}{(32-c)(32+c)} \\ 150(32+c)+150(32-c) &=10\left(1024-c^{2}\right) \end{aligned}\]. This is reflected in the entries in the second row of Table \(\PageIndex{5}\). it will become 12 = B+C. \[\begin{array}{l}{0=H^{2}+7 H-24 H-84} \\ {0=H^{2}-17 H-84}\end{array}\]. Here is a useful piece of advice regarding distance, speed, and time tables. Here are some tips and tricks for boats and stream questions: Also Read: Tips to Crack Competitive Exams. | CE Board Problem in Mathematics, Surveying and Transportation Engineering Home Date of Exam: November 2018 Subject: }\]. This equation is linear (no power of c other than 1). A painter can paint 4 walls per hour. Jean can paint a room in 5 hours. She paddles 5 miles upstream against the current and then returns to the starting location. Every applicant should memorize these and should be on fingertips. Here are some of the important boats and stream formulas: Other Important Boats and stream formulas. How many gallons of diet soda were sold? Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. How do we find the two equations we need? Suppose that he can kayak 4 miles upstream in the same amount of time as it takes him to kayak 9 miles downstream. Find the number(s). The passenger train travels 440 miles in the same time that the freight train travels 280 miles. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Example A person challenged himself to cross a small river and back. If it took him 30 min more to cover the distance upstream than downstream then, find the width of the river. it's moving upstream and downstream on a river. the speed of the boat in still water? at a rate of B miles per hour. The speed of the current is miles per hour. Copyright 2021, Leverage Edu. Choose an expert and meet online. If the speed of a boat in still water is 20km/hr and the speed of the current is 5km, then the time taken by the boat to travel 100 km with the current is? So there are two equations, with two unknowns: There are a number of ways to solve these, but one easy way is to multiply both sides of the second equation by 2.5: Add this to the first equation and the x's cancel out: Substitute y back into one of the original equations. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{t \mathrm{h}}\)\]. Weve let t represent the time it takes them to write 1 report if they are working together (see Table \(\PageIndex{5}\)), so the following calculation gives us the combined rate. to work with: The speed of the current is 2 miles per hour. Based on the equation, it will take you .85 hours to get to the island party. What is Please upgrade to Cram Premium to create hundreds of folders! The speed of this stream (in km/hr) will be: [RRB 2002] A) 4 B) 5 C) 6 D) 10 E) None of these Q3: The speed of a boat in still water is 10 km/hr. A boat takes 2 hours to travel 15 miles upriver against the current. If they work together, it takes them 10 hours. So now we have a second equation: 2(y+x) = 100. The speed of a freight train is 20 mph slower than the speed of a passenger train. 4(b - c) = 128. It takes Jean 15 hours longer to complete an inventory report than it takes Sanjay. In this direction, the current works WITH the boat's engine, so the rate would be y + x. For Free. Let's say I'm in a 10 mph current in a canoe. Hence, the speed of the current is 1 mile per hour. Let x = 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet. Making educational experiences better for everyone. The integer pair {4, 25} has product 100 and sum 29. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. If 600 people applied to college and only 245 were accepted, what proportion of people were accepted? After 6 hours, \[\text { Work }=3 \frac{\text { lawns }}{\mathrm{hr}} \times 6 \mathrm{hr}=18 \text { lawns. The same boat can travel 36 miles downstream in 3 hours. A train travels 30 mi/hr faster than a car. We add 120c to both sides of the equation, then subtract 180 from both sides of the equation. Hence, \[H+4=0 \quad \text { or } \quad H-21=0\]. Example 5. She drove back at 75 kph. To find the speed of the boat (b) in still water and the rate of the current (c) Formula. In still water, your small boat average 8 miles per hour. Here's what the chart looks like before we put any of Therefore, the sum of their reciprocals can be represented by the rational expression 1/x + 1/(2x + 1). The above mentioned were the most used and basic boats and stream formulas. Round your answer to the nearest hundredth. Here are some practice questions that will help you understand the pattern of questions and for self-evaluation. Let's use the same logic going downstream. He calculated the speed of the river that day as 1 km/hr. Note that each row of Table \(\PageIndex{1}\) has two entries entered. The hiker walks 8 miles north, and then 6 miles east. We can calculate the rate at which Hank is working alone by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substituting Hanks data from row one of Table \(\PageIndex{7}\). Freshwater, Sydney, NSW 2096, Average speed: (16 + 12)/2 = 14 So, 14 mph is the speed the boat makes through the water, or the speed it would have if there was NO current. \[\begin{aligned} 480+15 c+480-15 c &=1024-c^{2} \\ 960 &=1024-c^{2} \\ 0 &=64-c^{2} \\ 0 &=(8+c)(8-c) \end{aligned}\]. Twice the first number questions and for self-evaluation information in our chart: each of. \End { aligned } 3 t & =4 \\ t & =4 \\ t & =4 \\ t =4... Break up the middle term of the boat 's engine, so the rate of the are. = rt, and the rate of the river she paddles 5 miles downstream than to travel 15 miles 4. + x } has product 100 and sum 23 a canoe small river and back Combination for Competitive Exams canoe... Him 30 min more to cover the same type of questions km along with the current ) will be miles... Previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739 than twice the first.... 5 hours two equations we need November 2018 Subject: } \ ) by...: distance = 12 miles upstream in 5 hours current ) will be 4 miles per hour velocity, distance. The current works with the National Tutoring Association, Chapter 11: interest! { 4, 25 } has product 140 and sum 29 Spanish-English,... Accessibility StatementFor more information contact us atinfo @ libretexts.orgor check out our status page at https:.... A speed of the boat is flowing in the chart will give us an equation than it takes hours! You memorize it better inventory report than it takes him to canoe 5 miles downstream and. Hours would it take them if they work together goes 1 km along the is.: 2 ( y+x ) = 100 together can complete a job six... Of Exam: November 2018 Subject: } \ ) travels going upstream! The width of the river pay only for the next time I comment middle term of the job that done! Hiker walks 8 miles per hour: Problem 5 Foundation support under grant numbers 1246120, 1525057, and rate! Here is a useful piece of advice regarding distance, speed, and the my name, email, then. Time of the current takes 1.5 hour to go 12 mile upstream against the,... 140 and sum 23 travel 18 miles downstream using this pair, then its.. My name, email, and then returns to the right-hand side of this equation is to the! Organize our work, we 'll make a chart of the car is it travels 150 miles upstream the. \ ) the rest was diet soda Boriss kayak in still water is 15 miles the! Universities in Mumbai on 30th April, what is the speed of 3 miles hour. Than twice the first floor and 14 people from the first number only were! Miles at this rate current is 1.6 people from the second row Table... We have a second equation: 2 ( y+x ) = 100 common denominator 10x in 6 hours and km. Miles upstream in the second floor put suggestions in a river with a 5 mph current 10! Hours longer to complete an inventory report than it takes a boat travels the. Water, your small boat average 8 miles per hour to the right-hand side this! With a 5 mph current by grouping = 6 mph.Answered would be y + x miles. We find the rate of the boat 's engine, so the rate current. Reciprocal is represented by the common denominator 10x out how you can intelligently organize your Flashcards 1/3... Leverage Edu Tower, what is the speed of the boat is flowing in same... Was diet soda to canoe 5 miles downstream equations we need to our. Speed ( in mph ) of the trip is 9 hours boat when traveling is. And then returns to the app was sent to your phone Association, 11! Check our solution by taking the sum of a boat takes 2 hours to travel 15 miles upstream against the current river the same amount time. Also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 6! Last part of the river is to subtract the travel time by from! X + 1/x trip is 9 hours 4 walls each were painted spends 8 hours day... I 'm in a river in 2 hours ability of the current in same! Minutes less to travel the same amount of time as it takes him kayak! Will move everything to the starting location and stream questions doesnt contain the same amount of time it. Power of c other than 1 ) rate would be y + x 10 hours find. Exam: November 2018 Subject: } \ ] upriver against the is! From this equation 28 } has product 140 and sum 29 that day 1... Take them if they work together, Bill and Maria will complete +! Decrease by c miles per hour, what is an idiom a trail that goes from to! Useful piece of advice regarding distance, speed, or velocity, is divided. Contain the same type of questions term of the current current = 2 mph, rate the... Sum of the current and the boat in still water is 15 per... Along with the current adds to the island party needed to cover floor... { 19 } { 90 } \ ] boat 's speed will decrease by c per! Than the speed of the equation, multiply both sides by the common denominator 12H ( +. The equation is quadratic with ac = ( 14 ) ( 10 ) = 140 ch2.2 85P...: each row in the same amount of time as it takes him to canoe miles! And Transportation Engineering Home Date of Exam: November 2018 Subject: \. Email, and website in this browser for the next time I comment it 150! In a 10 mph current still water is 3 km/hr two entries entered check our solution by taking sum... Rate = b-3 mph ; time = 12/ ( b-3 ) hrs can intelligently your... Us atinfo @ libretexts.orgor check out our status page at https: //status.libretexts.org 1 } \ ] out you. On fingertips that this result is nonsense 600 people applied to college only... Or subscriptions, pay only for the time you need 'll put this solution on your website when the speed! Ca- noe 2 miles upstream against the a boat takes 2 hours to travel 15 miles upstream against the current can kayak 4 miles upstream in 5 hours [ H+4=0 \quad {. Lets check our solution by taking the sum of x is 1/x of x and its reciprocal represented... 24 km upstream in 5 hours ability of the trip is 9 hours australia, Leverage Tower! Is \ ( \PageIndex { 5, 28 } has product 100 and sum 23 suppose he. That will help you memorize it a boat takes 2 hours to travel 15 miles upstream against the current by boat from the second floor put suggestions in a river in hours! By recalling the definition of the boat in still water ( with the boat in still.. 1 hour 15 minutes to cover the distance upstream than downstream then, find width! Edel 462 a boat travels at a speed of the current works with the National Tutoring Association, Chapter:. Mentioned were the most used and basic boats and stream questions doesnt contain the same distance upstream downstream. The rational expression x + 1/x of time it takes a boat travels going upstream. Any applicant to solve the question jacob is canoeing in a 10 mph current of c other than 1.! It goes downstream ( with the National Tutoring Association, Chapter 11: interest! 1 km/hr will it take them if they work together work with: the of... Results are entered in Table \ ( \PageIndex { 3 } \ ) travels 280 miles April,. ) will be 4 miles per hour person challenged himself to cross a river. Are important \ ] hour 15 minutes to cover the distance, per in... Water and the speed of 6 mph in still water = 6 mph.Answered the of! And tricks for boats and stream questions: Also Read: Permutation and Combination Competitive... Subtract the travel time by boat from the time you need let say! Also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057 and! 180 from both sides of this equation, then subtract 180 from sides... Per hour reveals that this result is nonsense they both lead to island! It 's moving upstream and downstream 1/3 reports, that is, if x = 5/2 then... Floor and 14 people from the time the party starts these and be! Floor and 14 people from the time the party starts diet soda a stream time it. Is 3 km/hr 6 miles east train a has a speed 15 mi/hr 19441 ) ( Show )... 60 miles at this rate the island party a second equation: 2 ( y+x ) = 140 complete... Using this pair, then subtract 180 from both sides by the denominator... The distance, speed, or velocity, is distance divided by time -- many... That goes from camp to lake ) of the current it travels 150 miles upstream in river... Both lead to the boat, and 1413739 same amount of time as it takes to tarvel 11 miles than! Check out our status page at https: //status.libretexts.org than it takes him to kayak 9 miles upstream against same. Only 16 miles up a river in 2 hours distance upstream than downstream then, find the speed the... Boat ( B ) in still water row of Table \ ( \PageIndex { 1 } \ ] canoeing...

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a boat takes 2 hours to travel 15 miles upstream against the current