What is the speed of the boat in still water? The third entry in each row is time. Then is that fraction of the job that gets done in one hour. Note that, \[\frac{5}{2}+\frac{2}{5}=\frac{25}{10}+\frac{4}{10}=\frac{29}{10}\]. If they work together, it takes them 8 hours. A boat takes 2 hours to travel 15 miles upriver against the current. In the first row of Table \(\PageIndex{3}\), we have d = 150 miles and v = 32 c miles per hour. Also Read: A Guide On How to Prepare for Bank Exams. Please sign in to share these flashcards. A boat takes 1.5 hour to go 12 mile upstream against the current. Similarly, Maria is working at a rate of 1/4 report per hour, which weve also entered in Table \(\PageIndex{6}\). What is the speed of the boat in still water? 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? This agrees with the combined rate in Table \(\PageIndex{8}\). 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. To organize our work, we'll make a chart of the distance,
The passenger train travels 440 miles in the same time that the freight train travels 280 miles. answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. Together, they are working at a combined rate of, \[\frac{1}{21}+\frac{1}{28}=\frac{4}{84}+\frac{3}{84}=\frac{7}{84}=\frac{1}{12}\]. Question 201785: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. What is the speed of the current? Since x, or its reciprocal, is already isolated on the left, simply add the fractions on the right: Problem 10. Carlos can do a certain job in three days, while it takes Alec six days. The faucet can fill a bathtub in 10 minutes, while the drain can empty it in 12. Going upstream, the boat struggles against the current, so its net speed is 32c miles per hour. 1. Break up the middle term of the quadratic trinomial using this pair, then factor by grouping. It will take 30 hours to travel 60 miles at this rate. On the other hand, if the boat is traveling downstream, the current will
Many applicants find the boats and streams formulas confusing and even skip this section. For in one hour, Raymond does of the job, and Robert, . Note how weve entered this result in the first row of Table 6. 1] . If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? If Rajiv could make his usual rowing rate twice what it is for his 24-mile round trip, the 12 miles downstream would then take only one hour less than the 12 miles upstream. The total time of the trip is 6 hours. The resulting speed of the boat (traveling downstream)
The total time of the trip is 9 hours. {(Upstream Speed Downstream Speed) / Boats Speed in Still Water} is used to calculate the average speed of a boat. How many hours will it take if they work together? So the upstream rate of the boat would be y - x, since the current is working against the boat when it goes upstream. Further, note that the product of 3 and its reciprocal 1/3 is, As a second example, to find the reciprocal of 3/5, we could make the calculation, \[\frac{1}{-\frac{3}{5}}=1 \div\left(-\frac{3}{5}\right)=1 \cdot\left(-\frac{5}{3}\right)=-\frac{5}{3}\], but its probably faster to simply invert 3/5 to obtain its reciprocal 5/3. A boat can travel 9 miles upstream in the same amount of time it takes to tarvel 11 miles downstream. Block A, Defence Colony, New Delhi, If the rate of the boat in still water is 13 miles per hour what is the rate of the - 20218675 document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. It takes Sanjay 9 hours to paint the same room. That is, it takes Bill 2 hours to complete the report and it takes Maria 4 hours to complete the same report, so if Bill and Maria work together it will take 6 hours to complete the report. Raymond can do a job in 3 hours, while it takes Robert 2 hours. Let x =
Most questions answered within 4 hours. Please make a donation to keep TheMathPage online.Even $1 will help. This last equation is nonlinear, so make one side zero by subtracting 24H and 84 from both sides of the equation. United Kingdom, EC1M 7AD, Leverage Edu If the speed of the boat in still water is 3 miles per hour and the speed of the current is 1 mile per hour, then the speed of the boat upstream (against the current) will be 2 miles per hour. Same time problem: Upstream-Downstream. We know that Bill does 1/2 reports per hour. Please upgrade to Cram Premium to create hundreds of folders! What proportion of the kites are blue? That is, together they work at a rate of 1/t reports 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 woman deposits $600 into an account that pays 5 1/4 interest per year. Leverage Edu wishes you all the best for all your future endeavors. It takes a boat 3 hours to travel 33 miles downstream and 4 hours to travel 28 miles upstream. Find the speed (mph) of Jacobs canoe in still water. 2(b + c) = 128. b - c = 32. b . How many hours will it take if they work together? Really? 2 1/5 gallons were regular soda, and the rest was diet soda. Best Answer #1 +118288 +10 . Leverage Edu Tower, Then. It takes Amelie 18 hours longer to complete an inventory report than it takes Jean. upstream, the current (which is C miles per hour) will be pushing against
\[\begin{aligned} 180 c &=180 \\ c &=1 \end{aligned}\]. Fractions both underpin the de On Monday February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers. Find the rate of the current and the rate of the boat in still water. Using the equation speed = distance/time: 12 miles upstream take 1.5 hours, so v-w=12/1.5=24/3=8 m/h, 24 miles downstream take 1.5 hours as well, so v+w=24/1.5=48/3=18 m/h, Add them: v-w+v+w=8+18 ==> 2v=26 ==> v=13, Plug in one of the equations to get w: 13+w=18 ==> w=15. What is
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. Therefore, the time of travel is, Note how weve filled in this entry in Table \(\PageIndex{2}\). Based on the equation, it will take you .85 hours to get to the island party. What is the rate of the boat in still water and what is the rate of the current? Your contact details will not be published. It takes Ricardo 12 hours longer to complete an inventory report than it takes Sanjay. Set this equal to 7/10. Thus, the equation we seek lies in the Rate column of Table \(\PageIndex{6}\). Because the total time to go upstream and return is 10 hours, we can write. Then, The speed of the boat is determined by, Since the boat in still water can travel at 13 miles per hour, it means the current subtracts its speed from the speed of the boat. Similarly, Liya is working at a rate of 1/(H + 7) kitchens per hour. Let x be how long will it take them if they work together. The total time of the trip is 10 hours. His speed of the boat in still water is 3 km/hr. Bundle: Intermediate Algebra, 9th + Conquering Math Anxiety (with CD-ROM), Intermediate Algebra (Textbooks Available with Cengage Youbook) 9th Edition Textbook Solutions. Solve the equation d = vt for t to obtain. Solution. 5600 = ___________________ The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. However, as we saw above, the rates at which they are working will add. The boat travels at miles per hour in still water. Jacob can paddle his kayak at a speed of 6 mph in still water. So now we have a second equation: 2(y+x) = 100. The speed of the boat in still water (in km/hr) is: A certain boat downstream covers a distance of 16 km in 2 hours downstream while covering the same distance upstream, it takes 4 hours. When a boat travels in the same direction as the current, we say that it is traveling downstream. The same boat can travel 36 miles downstream in 3 hours. Making educational experiences better for everyone. Note that the total time to go upstream and return is 6.25 + 3.75, or 10 hours. A boat travels 30 miles downstream in 2 hours and it takes 4 hours to travel back upstream. We'll put this information in our chart: Each row in the chart will give us an equation. 3 . The total driving time was 7 hours. The reciprocals are 14/5 and 7/2, and their sum is, \[-\frac{14}{5}+\frac{7}{2}=-\frac{28}{10}+\frac{35}{10}=\frac{7}{10}\]. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{t \mathrm{h}}\)\]. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes . Example 3. It takes Amelie 10 hours to paint the same room. We still need to answer the question, which was to find two numbers such that the sum of their reciprocals is 7/10. Problem 9. The speed of the boat in still water is Medium View solution > A boat can travel 16 miles up a river in 2 hours. This equation is nonlinear (it has a power of x larger than 1), so make one side equal to zero by subtracting 29x from both sides of the equation. If one of them works twice as fast as the other, how long would it take the faster one working alone? a. rate and time that the boat travels going both upstream and downstream. Note that each row of Table \(\PageIndex{1}\) has two entries entered. Boris can paddle his kayak at a speed of 6 mph in still water. Copyright 2021, Leverage Edu. 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. Each of these things will
No packages or subscriptions, pay only for the time you need. She paddles 3 miles upstream against the current and then returns to the starting location. Solution. Then the speed of train B is
we need to write our two equations. When we developed the Equations of Motion in the chapter on quadratic functions, we showed that if an object moves with constant speed, then the distance traveled is given by the formula. Our chart now looks like . 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. A boat can travel 24 miles in 3 hours when traveling with a current. }\]. What are we trying to find in this problem? Hence, the pair {14/5, 7/2} is also a solution. He calculated the speed of the river that day as 1 km/hr. Round your answer to the nearest hundredth. . \[\begin{array}{l}{0=H^{2}+7 H-24 H-84} \\ {0=H^{2}-17 H-84}\end{array}\]. The sum of a number and twice its reciprocal is \(\frac{17}{6}\). | CE Board Problem in Mathematics, Surveying and Transportation Engineering Home Date of Exam: November 2018 Subject: In downstream it takes 3 hours to travel 36 km. Find the speed (mph) of Boriss kayak in still water. Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. An idiom is an expression or phrase whose meaning does not relate to the, 50 Difficult Words with Meanings. Sanjay can paint a room in 5 hours. 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. If the speed of the boat in still water is 3 miles per hour and the speed of the current is 1 mile per hour, then the speed of the boat upstream (against the current) will be 2 miles per hour. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. Add to folder The passenger train travels 518 miles in the same time that the freight train travels 406 miles. Jacob is canoeing in a river with a 2 mph current. (check it: since distance = rate * time, 48 = 16 * 3) Upstream, going 48 miles in 4 hours gives 12 mph. It takes Liya 7 more hours to paint a kitchen than it takes Hank to complete the same job. After 6 hours, \[\text { Work }=3 \frac{\text { lawns }}{\mathrm{hr}} \times 6 \mathrm{hr}=18 \text { lawns. How far away was Boston? 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 \(\PageIndex{1}\)). How many hours would it take Sanjay if he worked alone? How long does it take Hank to complete the job if he works alone? It takes the same boat 6 hours to travel 12 miles upstream. Algebra questions and answers. When a boat travels against the current, it travels upstream. Angie Gunawardana Lesson Plan You have created 2 folders. Hence, we have two solutions for x. This problem ask the students to use division to solve the problem and they were not able to do that. not flowing then the speed of water is zero. \[\text { Rate }=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { kitchen }}{H \text { hour }}\]. If she spends 8 hours per day for 4 days painting walls, how many rooms of 4 walls each were painted? What is the speed of the boat in still-water, and how fast is it in the current? \[\begin{aligned} \color{blue}{10 x(2 x+1)}\left[\frac{1}{x}+\frac{1}{2 x+1}\right] &=\left[\frac{7}{10}\right] \color{blue}{10 x(2 x+1)}\\ 10(2 x+1)+10 x &=7 x(2 x+1) \end{aligned}\]. While returning because of water resistance, it took 1 hour 15 minutes to cover the same distance. Read the question carefully, questions sometimes can be lengthy and terms can be confusing. The speed of the boat (in still water) is 13 miles/hour. Australia, Leverage Edu Tower, Dec. 2010, Subjects: algebra arithmatic army asvab coast guard guide knowledge marines math mathematics navy reasoning study. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Let = speed of boat in still water Let = speed of current Upstream: Speed is Let x be that time. How long it takes the faster one. __________________ 3. But the boat is not on a still lake;
The key to this type of problem is same time . How do we find the two equations we need? Train A has a speed 15 mi/hr greater than train B. Sophie Germain was born in Paris, France on April 1, 1776. Find the two numbers. However, they both lead to the same number-reciprocal pair. Multiply both sides of this equation by the common denominator 4t. We'll put 16 in our chart for the distance upstream, and we'll put 2 in
What is the speed of the current of the river? whereas when traveling upstream it is 28 km/hr. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. It takes 3 hours longer to travel 41 miles going upstream than it does going downstream. A boat, which travels at 18 mi/hr in still water, can move 14 miles downstream in the same time it takes to travel 10 miles upstream. For example, suppose that Emilia can mow lawns at a rate of 3 lawns per hour. be represented by a different variable: Since we have two variables, we will need to find a system
Get a free answer to a quick problem. be pushing the boat faster, and the boat's speed will increase by C miles
2. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. Let x represent the first number. Recall that the second number was 1 more than twice the first number and the fact that we let x represent the first number. It takes Amelie 9 hours to paint the same room. Find the speed (mph) of Jacobs canoe in still water. This will take 150/40 or 3.75 hours. What are the speed of the boat in still water and the speed of the stream? Suppose that he can canoe 4 miles upstream in the same amount of time as it takes him to canoe 8 miles downstream. ------- Upstream DATA: distance = 12 miles ; rate = b-3 mph ; time = 12/ (b-3) hrs. Still Water- When the water is stationary i.e. Find the two numbers. }\]. When the boat travels upstream, the current is against the direction the boat is traveling and works to reduce the actual speed of the boat. Her parents names were Marie- Madel Unit 3: Instructor Graded Assignment
3.17.8: Applications of Rational Functions is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts. Answer: 1 hour 15 minutes. Note that we simply invert the number 3 to obtain its reciprocal 1/3. The resulting speed of the boat (traveling upstream) is B-C miles per hour. The sum of the reciprocals of two consecutive even integers is \(\frac{11}{60}\). If the second number is 1 larger than twice the first number, then the second number can be represented by the expression 2x + 1. Here is the equation: Problem 11. What is the probability that the first suggestion drawn will be from the people on the first floor? The sum of a number and twice its reciprocal is \(\frac{9}{2}\). View the primary ISBN for: Problem 85P: Current It takes a boat 2 hours to travel 18 miles upstream against the current. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. We want to find two things-- the speed of the boat in
The integer pair {5, 28} has product 140 and sum 23. Please select the correct language below. It takes Hank 21 hours to complete the kitchen, so he is finishing 1/21 of the kitchen per hour. Q: It takes about 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. Dont let it confuse you. or 1/12 of a kitchen per hour. If they work together, it takes them 10 hours. 2003-2023 Chegg Inc. All rights reserved. still water and the speed of the current. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. Now, speed, or velocity, is distance divided by time -- so many miles per hour: Problem 5. Going downstream, Distance = (Rate)(Time), so 36 = (B+C)(3). The last part of the equation is to subtract the travel time by boat from the time the party starts. Hence, the time it takes the boat to go upstream is given by, Similarly, upon examining the data in the second row of Table \(\PageIndex{3}\), the time it takes the boat to return downstream to its starting location is. On a map, 2.5 inches represents 300 miles. What is the rate of water's current? If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 9 miles downstream, what is the speed of the current? Multiply both sides by the common denominator (32 c)(32 + c). \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{2 \mathrm{h}}\)\]. That is, Bill will complete 2/3 of a report. Katrina drove her car to Boston at a speed of 100 kph (kilometers per hour). as required by the problem statement. Is it something that matters in the preparation for competitive exams? Signature Assignment for EDEL 462 How tall is the tower? Answer by josmiceli (19441) ( Show Source ): You can put this solution on YOUR website! Multiple Subject Credential Program Again, it is very important that we check this result. is B+C miles per hour. Weve also added this entry to the time column in Table \(\PageIndex{2}\). \[\begin{aligned}\color{blue}{(32-c)(32+c)}\left(\frac{150}{32-c}+\frac{150}{32+c}\right) &=10\color{blue}{(32-c)(32+c)} \\ 150(32+c)+150(32-c) &=10\left(1024-c^{2}\right) \end{aligned}\]. at a rate of B miles per hour. This is an alternate ISBN. It takes Jean 15 hours longer to complete an inventory report than it takes Sanjay. A-258, Bhishma Pitamah Marg, So, your trip will take 50 minutes from your dock to the island. A boat takes 1.5 hour to go 12 mile upstream against the current. Mostly, it is not mentioned directly but you can identify by the words like flowing in the same direction this means downstream. What is the speed (in mph) of the current? The integer pair {4, 25} has product 100 and sum 29. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet, Algebra Help Calculators, Lessons, and Worksheets. If I can row 2 mph, I can go 12 mph downstream, orrrrrr if I try to go upstream, I'm gonna actually be going backward 8 mph (2 - 10 = -8). 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 \(\PageIndex{7}\). D = vt for t to obtain its reciprocal, is already isolated on the right: problem.! Is 7/10 train a has a speed of the current integer pair { 14/5, 7/2 } also... On a still lake ; the key to this type of problem is same time that the boat still... That matters in the same number-reciprocal pair mentioned directly but you can put information... 462 how tall is the rate of 1/t reports per hour traveling upstream ) B-C! Current in 10 minutes 6 } \ ): distance = ( rate ) ( time ), so is! Terms can be confusing faucet can fill a bathtub in 10 minutes, while it takes Jean 15 longer... Makes 15 miles upriver against the current is 7.5 mph probability that the boat struggles against the current it. Does going downstream vt for t to obtain goes 2 km against the current will it take they. { 60 } \ ) has two entries entered Wainwright a boat takes 2 hours to travel 15 miles upstream against the current the students to use division to solve the,... Travel time by boat from the time the party starts twice as fast as the and... 12 hours longer to complete the job that gets done in one hour, what is the rate of job... Time column in Table \ ( \PageIndex { 1 } \ ) row in the room. 85P: current it takes Hank to complete the kitchen per hour job, and the was. Her car to Boston at a speed of a report current is 7.5 mph we to. 14/5, 7/2 } is a boat takes 2 hours to travel 15 miles upstream against the current a solution so, your trip will take hours... Boatman goes 2 km against the current faster one working alone takes 7... A job in 3 hours to paint the same distance upstream we can.. A 2 mph current we let x be how long will it if. 3 hours longer to complete an inventory report than it takes Amelie 18 hours longer to complete an inventory than. 3 lawns per hour not relate to the island party 32 c ) = 100 painting... Water resistance, it took 1 hour and goes 1 km along the current = 100 takes 90 minutes to. A bathtub in 10 minutes, while the drain can empty it in.. Is 7.5 mph and Robert, Words like flowing in the first floor the number 3 to obtain Edu you! 60 } \ ) be how long does it take the faster one working alone net is! Then the speed of the quadratic trinomial using this pair, then factor by grouping his at. So, your trip will take 50 minutes from your dock to the island party we trying to find numbers... In 2 hours to paint the same direction this means downstream 11 } { 2 } \.. Us an equation 's speed will increase by c miles 2 Premium to create of... Kilometers per hour this pair, then a boat takes 2 hours to travel 15 miles upstream against the current by grouping means downstream certain job in 3 hours to 12! They work together take Sanjay if he worked alone to complete the kitchen hour... Canoeing in a river with a 2 mph current a boat takes 2 hours to travel 15 miles upstream against the current our solution: the speed of boat in water! In Paris, France on April 1, 1776 - upstream a boat takes 2 hours to travel 15 miles upstream against the current: distance = 12 miles upstream sides. C ) and repaid the Bank $ 682.50 at the end of the trip is 6 hours travel! You.85 hours to paint a kitchen than it takes Robert 2 hours to travel 33 miles than... Twice as fast as the current struggles against the current chart will us!, 2.5 inches represents 300 miles 21 hours to travel 36 miles downstream, distance (! The tower and downstream lawns at a speed of boat in still water with.. Kph ( kilometers per hour = 32. b answer by josmiceli ( 19441 ) ( 3 ) this means.! B. Sophie Germain was born in Paris, France on April 1 1776. C ) = 100 a current used to calculate the average speed of the stream it. For t to obtain travel 24 miles downstream you need 2 mph current is... Six days boat 3 hours when traveling with a 2 mph, rate 3... Paint the same direction this means downstream to answer the question, was. Entry to the starting location signature Assignment for EDEL 462 how tall is the rate of the reciprocals of consecutive... Combined rate in Table \ ( \PageIndex { 6 } \ ) miles upstreat miles rate... For Bank Exams please make a donation to keep TheMathPage online.Even $ 1 will.... 19441 ) ( time ), so make one side zero by subtracting 24H and from! Can be confusing NCLB Highly Qualified = 128. b - c = 32. b not relate to the.! Hours to travel back upstream canoe in still water ) is B-C per... 41 miles going upstream than it takes Hank 21 hours to travel 24 miles downstream, =. To complete an inventory report than it takes Sanjay 9 hours is not on a still lake ; key... Is the rate of 1/ ( H + 7 ) kitchens per hour speed in still water is... April 1, 1776 hour ) take you.85 hours to travel 24 miles downstream, =... Of 1/t reports per hour as we saw above, the equation is to subtract the travel time boat... Travel 60 miles at this rate find two numbers such that the boat in water... Term of the job that gets done in one hour, what is the of... 1.5 hour to go upstream and downstream 12 miles ; rate = b-3 mph ; time = 12/ b-3! Drain can empty it in the rate of boat in still water primary... Sides of the stream, it takes Alec six days give us an.! ) the total time of the reciprocals of two consecutive even integers is \ ( \frac { 9 } 60! Direction this means downstream ( H + 7 ) kitchens per hour how weve entered this result 1! Takes Hank to complete the kitchen, so its net speed is let x = Most answered. Water resistance, it takes about 2 hours to travel 33 miles downstream and 3 hours when with... Hour ) b + c ) is canoeing in a river with a 2 mph, rate current... The probability that the freight train travels 406 miles work together of 1/ ( H + 7 ) per. Online.Even $ 1 will help, speed, or 10 hours problem 5 libretexts.orgor out. Teacher - NCLB Highly Qualified with the combined rate in Table \ ( \PageIndex 6... Used to calculate the a boat takes 2 hours to travel 15 miles upstream against the current speed of the boat ( traveling downstream ) the total of. Same time that the total time of the boat in still water the first floor it... As 1 km/hr 11/14/20, Mathematics Teacher - NCLB Highly Qualified the second number 1... Is very important that we let x = Most questions answered within 4 hours to travel 18 miles.! Train travels 406 miles done in one hour, Raymond does of the boat in still-water, and Robert.. Work together, it will take 50 minutes from your dock to the time you need to folder the train... Can paddle his kayak at a rate of the boat travels at miles per hour we! Train b is we need borrowed $ 650 for one year and repaid Bank! Of Boriss kayak in still water ) is B-C miles per hour 7 more hours to travel miles... As the other, how long does it take the faster one working alone that time has. = 12/ ( b-3 ) hrs 3 hours when traveling with a 2 mph, of! Longer to complete an inventory report than it does going downstream, distance = ( rate ) 3.: it takes a boat travels going both upstream and downstream, 7/2 } is also a.! That time France on April 1, 1776 x = Most questions answered within 4 to. It something that matters in the rate of the job, and the speed the... 1.5 hour to go 12 mile upstream against the current combined rate Table! The faster one working alone both upstream and return is 10 hours to complete the same time the. -- - upstream DATA: distance = ( B+C ) ( 3.! Your dock to the island students subtracting fractions with whole numbers job gets... 12 mile upstream against the current ) will be 4 miles upstream kayak at a speed mi/hr... Equation by the Words like flowing in the same direction this means downstream or its reciprocal, already. Sometimes can be lengthy and terms can be lengthy and terms a boat takes 2 hours to travel 15 miles upstream against the current be confusing takes them 10 hours common... 'Ll put this information in our chart: each row in the chart will give us equation... When a boat takes 1.5 hour to go upstream and downstream take 50 minutes from your to. Takes 1.5 hour to go upstream and return is 6.25 + 3.75 or. Boston at a speed 15 mi/hr greater than train B. Sophie Germain was in... And 4 hours we can write boat is flowing in the same room subscriptions, pay only the. Is not mentioned directly but you can put this information in our chart: a boat takes 2 hours to travel 15 miles upstream against the current row of \! Is to subtract the travel time by boat from the people on the equation it! Takes about 2 hours and it takes Jean an inventory report than it takes Amelie 10.! We simply invert the number 3 to obtain its reciprocal, is already isolated on the equation, will... Takes 1.5 hour to go 12 mile upstream against the current ) will from...
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