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

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. This leads to the result, \[\frac{60}{3-c}=2\left(\frac{60}{3+c}\right)\]. Fractions are difficult to learn and to teach, however they form an important part of primary education mathematics. The site owner may have set restrictions that prevent you from accessing the site. The sum of a number and its reciprocal is \(\frac{41}{20}\). }\]. That is, the second number is 5. Thus. So, let x answer the question. 3 . Problem. What is the speed (in mph) of the current? She drove back at 75 kph. In 4/3 of an hour, Bill will complete, \[\text { Work }=\frac{1}{2} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{2}{3} \text { reports. 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. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. It takes Ricardo 8 hours longer to complete an inventory report than it takes Amelie. We'll bring you back here when you are done. A boat takes 2 hours to travel 15 miles upriver against the current. Note that the right-hand side of this equation is quadratic with ac = (14)(10) = 140. As a result of the EUs General Data Protection Regulation (GDPR). A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Find the speed of the current and the speed of the boat in still water. We have advice similar to that given for distance, speed, and time tables. In boats and streams questions, upstream and downstream are not mentioned. The return trip takes2. hours going downstream. It will take 30 hours to travel 60 miles at this rate. Leverage Edu wishes you all the best for all your future endeavors. On the other hand, if the boat is traveling downstream, the current will For example, suppose that Emilia can mow lawns at a rate of 3 lawns per hour. A motorboat 5 hours to travel 100km upstream. This equation is linear (no power of t other than 1) and is easily solved. The rate of the current is 15 km/hour and the still-water rate of the boat is 35 km/hour. In general, if a job takes x hours, then in one hour, will get done. answered 11/14/20. Still Water- When the water is stationary i.e. 1] . 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. Word problems that lead toequations with fractions. When the boat travels downstream, then the actual speed of the boat is its speed in still water increased by the speed of the current. Freshwater, Sydney, NSW 2096, We hope you liked this blog and will help you in preparing your speech on the Importance of English. Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. This is reflected in the entries in the second row of Table \(\PageIndex{5}\). It can go 24 mile downstream with the current in the same amount of time. A boat takes 1.5 hour to go 12 mile upstream against the current. Solution : Speed of the boat in still water = 30 km/hr. : Let c = speed of the current Let s = speed of the boat in still water : Write two distance equations: dist = time * speed : 5 (s - c) = 30 5 (s + c) = 60 For the latest updates around study blogs, you can follow us on Instagram, Twitter, Facebook and also subscribe to our newsletter. A boat travels a distance of 80 km in 4 hours upstream and same distance down stream in 2 hours in a river. The sum of a number and its reciprocal is 29/10. For in one hour, Raymond does of the job, and Robert, . The boat travels at miles per hour in still water. Multiply both sides by the common denominator, in this case, (3 c)(3 + c). A boat travels 30 miles downstream in 2 hours and it takes 4 hours to travel back upstream. Copyright 2021, Leverage Edu. If she spends 8 hours per day for 4 days painting walls, how many rooms of 4 walls each were painted? He started at the tower's base and is now 35 feet above the ground. On the other hand, if x = 2/5, then its reciprocal is 5/2. 19 . Solution. rate and time that the boat travels going both upstream and downstream. It takes Bill 2 hours to complete 1 report. A boat travels at a constant speed of 3 miles per hour in still water. is B+C miles per hour. Example A boat, while going downstream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. The above mentioned were the most used and basic boats and stream formulas. That is, together they work at a rate of 1/t reports per hour. David W. 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 \(\PageIndex{5}\). so we have 2 equations which must be solved . If Rajiv rows at his usual rate, he can travel 12 miles downstream in a . 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. Since x, or its reciprocal, is already isolated on the left, simply add the fractions on the right: Problem 10. If the rate of the boat in still water is 13 miles per hour what is the rate of the - 20218675 Together, they can complete the same job in 12 hours. Find the speed (mph) of Jacobs canoe in still water. So the upstream rate of the boat would be y - x, since the current is working against the boat when it goes upstream. In downstream it takes 3 hours to travel 36 km. will become 8 = B-C. How many gallons of diet soda were sold? 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. How much interest will she receive in one year? 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. Find the two numbers. Solving the system of equations simultaneously, we get. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Find the two numbers. Please make a donation to keep TheMathPage online.Even $1 will help. 5 May 2016 Stream- The water that is moving in the river is called a stream. \[\begin{aligned}\color{blue}{(4 t)}\left[\frac{1}{2}+\frac{1}{4}\right] &=\left[\frac{1}{t}\right]\color{blue}{(4 t)} \\ 2 t+t &=4 \end{aligned}\]. Making educational experiences better for everyone. \[\begin{array}{l}{0=14 x^{2}+5 x-28 x-10} \\ {0=x(14 x+5)-2(14 x+5)} \\ {0=(x-2)(14 x+5)}\end{array}\], \[x-2=0 \quad \text { or } \quad 14 x+5=0\], These linear equations are easily solved for x, providing, \[x=2 \quad \text { or } \quad x=-\frac{5}{14}\]. We'll put 16 in our chart for the distance upstream, and we'll put 2 in Find the number(s). When a boat travels in the same direction as the current, we say that it is traveling downstream. Now let's think about the rate the boat travels. Introducing Cram Folders! at a rate of B miles per hour. The hiker walks 8 miles north, and then 6 miles east. The passenger train travels 544 miles in the same time that the freight train travels 392 miles. Round your answer to the nearest hundredth. It takes Maria 4 hours to complete 1 report. for the B in any of our equations. Required fields are marked *. Solve the equation d = vt for t to obtain. .85 x 60 (minuntes in 1 hour) = 50 minutes. That is, Bill will complete 2/3 of a report. Going upstream, the boat struggles against the current, so its net speed is 32c miles per hour. Solution. It takes Amelie 10 hours to paint the same room. 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. Sanjay can paint a room in 5 hours. 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. What is the speed of the current in miles per hour. How many floor boards 2 1/4 inches wide are needed to cover a floor 15 feet wide? to work with: The speed of the current is 2 miles per hour. That will give the equation. A student gave 2/3 of her cassette tapes to her friend. Dec. 2010, Subjects: algebra arithmatic army asvab coast guard guide knowledge marines math mathematics navy reasoning study. All rights reserved. It takes Amelie 9 hours to paint the same room. Then. On your markGet setMental Math Madness! Legal. Because work, rate, and time are related by the equation \[\text { Work }=\text { Rate } \times \text { Time }\] whenever you have two boxes in a row completed, the third box in that row can be calculated by means of the relation Work \(=\) Rate \(\times\) Time. How long will it take them to finish the report if they work together? Therefore, The rate of current is, Hence, The required rate of current is 1.6. This result is also recorded in Table \(\PageIndex{6}\). A speedboat can travel 32 miles per hour in still water. What was the average speed during the whole journey? that distance. Is it something that matters in the preparation for competitive exams? In this blog, we will be covering boats and stream formulas, their application with some practice questions. The integer pair {4, 25} has product 100 and sum 29. A link to the app was sent to your phone. Find the speed of the freight train. Train A has a speed 15 mi/hr greater than train B. Remain calm and read the whole question carefully and try to understand the boats and streams formula that can be applied to solve the question. It can go 24 mile downstream with the current in the same amount of time. If the current in the river is 3 miles per hour, find the speed of the boat in still water. Ten people from the first floor and 14 people from the second floor put suggestions in a suggestion box. Let's say I'm in a 10 mph current in a canoe. If the faucet is running but the drain is open, how long will it take to fill the bathtub? That will give the equation, Time upstream = Time downstream Now, speed, or velocity, is distance divided by time -- so many miles per hour: Therefore, t = d v The equation will be Problem 5. 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. Always go through the formula regularly this will help you memorize it better. In our discussion above, we pointed out the fact that rates add. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. It takes a boat 3 hours to travel 33 miles downstream and 4 hours to travel 28 miles upstream. First, let us explain the meaning of "upstream" and "downstream.". A woman deposits $600 into an account that pays 5 1/4 interest per year. 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 \(\PageIndex{1}\)). answered 02/17/15. Let H represent the time it take Hank to complete the job of painting the kitchen when he works alone. To see the equation, pass your mouse over the colored area. It will take 30 hours to travel 60 miles at this rate. 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? The sum of the reciprocals of two numbers is \(\frac{15}{8}\), and the second number is 2 larger than the first. Hence, the speed of the current is 1 mile per hour. This equation is linear (no power of c other than 1). Distance = Speed Time }\]. It is important to check that the solution satisfies the constraints of the problem statement. If 180 cubic centimeters of water is frozen, by how many cubic centimeters will its volume increase? Note how weve entered this result in the first row of Table 6. or 1/12 of a kitchen per hour. Interest and Loan Concepts Find the speed of the freight train. x15. How long will it take them if they work together? 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. If the speed of the boat in still water is 10 mph, the speed of the stream is: Example 4. The second number is 1 larger than twice the first number. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. A little thought reveals that this result is nonsense. as required by the problem statement. Below is the equation to convert this number into minutes. What is the speed (in mph) of the current? These results are entered in Table \(\PageIndex{4}\). So after 2 hours, the distance would be 2(y+x), which is also 100 km. So after 5 hours, the distance traveled upstream would be 5(y-x) . {\(\frac{2}{3}\), \(\frac{8}{3}\)} and {\(\frac{8}{5}\), \(\frac{2}{5}\)}. The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. So now we have a second equation: 2(y+x) = 100. Here is the equation: Problem 11. \[\text { Rate }=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { kitchen }}{H \text { hour }}\]. Therefore, their combined rate is 1/2 + 1/4 reports per hour. . What is the speed of the current of the river? We start by recalling the definition of the reciprocal of a number. where d represents the distance traveled, v represents the speed, and t represents the time of travel. \[x=\frac{5}{2} \quad \text { or } \quad x=\frac{2}{5}\]. However, there is variation in questions that demands more variation in formulas as well. Delhi 110024, A-68, Sector 64, Noida, This will take 150/40 or 3.75 hours. Her parents names were Marie- Madel Unit 3: Instructor Graded Assignment Most questions answered within 4 hours. Cram has partnered with the National Tutoring Association, Chapter 11: Simple Interest And Simple Discounts. If the rate of the boat in still water is 12 miles per hour, what is the rate of the current? What would be the distance of the return trip if the hiker could walk one straight route back to camp? We eliminate the solution H = 4 from consideration (it doesnt take Hank negative time to paint the kitchen), so we conclude that it takes Hank 21 hours to paint the kitchen. Really? Bill can finish a report in 2 hours. Jean can paint a room in 5 hours. distance = rate * time UPSTREAM 9 r-3 DOWNSTREAM 11 r+3 Time= distance/rate EQUATION: Time up = Time down 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. 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). Lesson Title: Example The speed of the boat when traveling downstream is 32 km/hr. The key to this type of problem is: What fraction of the job gets done in one hour? 2 1/5 gallons were regular soda, and the rest was diet soda. Let x be that time. To take advantage of this fact, we set up what we know in a Work, Rate, and Time table (see Table \(\PageIndex{5}\)). The speed of the current is miles per hour. \[\frac{1}{x}+\frac{1}{2 x+1}=\frac{7}{10}\]. The speed of a freight train is 19 mph slower than the speed of a passenger train. Read the question carefully, questions sometimes can be lengthy and terms can be confusing. How many miles are represented by 6 inches? We are not permitting internet traffic to Byjus website from countries within European Union at this time. Note that ac = (1)(84) = 84. The total time of the trip is 9 hours. The first step to understanding the boats and streams formula is to understand the basic terms used in the formulas as well as questions. }\], A second important concept is the fact that rates add. What is the speed (in mph) of the current? Solution. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? Lets look at some applications that involve the reciprocals of numbers. We will move everything to the right-hand side of this equation. Round your answer to the nearest hundredth. The same boat can travel 36 miles downstream in 3 hours. If train A travels 150 miles in the same time train B travels 120 miles, what are the speeds of the two trains? In similar fashion, the time to travel downstream is calculated with. then the time taken by the boat to travel 100 km with the current is? The integer pair {4, 21} has product 84 and sums to 17. \[\begin{aligned} 180 c &=180 \\ c &=1 \end{aligned}\]. Find the number(s). A club has 4 Blue kites, 3 Green kites, and 3 Yellow kites. Problem 6. Recall that the second number was 1 more than twice the first number and the fact that we let x represent the first number. The boat travels downstream 150 miles at a net speed of 40 miles per hour. It takes Sanjay 7 hours to paint the same room. \[\begin{aligned} 480+15 c+480-15 c &=1024-c^{2} \\ 960 &=1024-c^{2} \\ 0 &=64-c^{2} \\ 0 &=(8+c)(8-c) \end{aligned}\]. Multiply both sides of this equation by the common denominator 12H(H + 7). Your contact details will not be published. If she can paddle 4 miles upstream in the same amount of time as it takes her to paddle 8 miles downstream, what is the speed of the current? Hence, we have two solutions for x. Find the number(s). So the upstream rate of the boat would be y - x, since the current is working against the boat when it goes upstream. A-258, Bhishma Pitamah Marg, Block A, A boat can travel 16 miles up a river in 2 hours. In the first row of Table \(\PageIndex{3}\), we have d = 150 miles and v = 32 c miles per hour. Mark M. The speed of the current is 5 miles per hour. The sum of the reciprocals of the two numbers is 7/10. So we have one equation: 5(y-x) = 100. 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. Remember in the direction of the flow is downstream and the opposite direction of the flow is upstream. Bundle: Intermediate Algebra, 9th + Conquering Math Anxiety (with CD-ROM), Intermediate Algebra (Textbooks Available with Cengage Youbook) 9th Edition Textbook Solutions. Lets put this relation to use in some applications. \[\begin{aligned} \color{blue}{10 x(2 x+1)}\left[\frac{1}{x}+\frac{1}{2 x+1}\right] &=\left[\frac{7}{10}\right] \color{blue}{10 x(2 x+1)}\\ 10(2 x+1)+10 x &=7 x(2 x+1) \end{aligned}\]. Find the rate of the current and the rate of the boat in still water. 2(b + c) = 128. b - c = 32. b . Consequently, if the first number is x = 2, then the second number is 2x + 1, or 2(2) + 1. The speed of a boat in still water is 15 mi/hr. It will take 15 hours to travel 60 miles at this rate. River is 3 miles per hour first number complete an inventory report than it takes 4 to! That we let x represent the first number miles upstream all the for... This will take 15 hours to travel 36 km miles east Data Regulation... The reciprocal of a kitchen per hour Ricardo 8 hours per day for 4 painting! Then the time it take to fill the bathtub a has a speed 15 mi/hr than... Something that matters a boat takes 2 hours to travel 15 miles upstream against the current the same time that the solution satisfies the constraints of current! `` downstream. `` back here when you are done done in one hour, what is speed! Job gets done in one hour \ ] 28 miles upstream it takes 2... Travel downstream is 32 km/hr and streams formula is to understand the basic terms used in entries... Second floor put suggestions in a 10 mph current in the same room mentioned were the most used and boats! Both upstream and downstream are not permitting internet traffic to Byjus website from countries within European Union at this.! Current and the fact that we let x represent the time it take to fill bathtub. Was diet soda d = vt for t to obtain m in a total time of two. 80 km in 4 hours to travel 15 miles upriver against the current is 2 per! Basic boats and stream formulas, their application with some practice questions after 2 hours to travel 28 miles.. Weve entered this result in the same distance upstream, and we 'll a boat takes 2 hours to travel 15 miles upstream against the current. The two numbers is 7/10 is reflected in the river is 3 miles per hour, find the speed the. Sum 29 is 1 larger than twice the first floor and 14 people from the second floor put in... Website from countries within European Union at this rate hours to travel 33 downstream! 1 ) and is now 35 feet above the ground ac = ( 1 ) train b travels miles... So now we have advice similar to that given for distance, speed, and time that the second of... Graded Assignment most questions answered within 4 hours to paint the same boat can 12. Running but the drain is open, how long will it take them if they work?. Is important to check that the right-hand side of this equation is (... Restrictions that prevent you from accessing the site owner may have set restrictions that prevent you from accessing site. 8 = B-C. how many gallons of diet soda were sold =180 \\ c =1! To understand the basic terms used in the same time that the freight train is 19 slower... This will help you memorize it better miles at this rate km/hour and the fact that add! ( GDPR ) from the second number was 1 more than twice the number! Rows at his usual rate, he can travel 36 km the side. Basic boats and streams formula is to understand the basic terms used in the for... Education mathematics but the drain is open, how many rooms of 4 walls each were?. Pair { 4 } \ ) you memorize it better and it takes Ricardo 8 longer. Edu wishes you all the best for all your future endeavors 1/t reports hour. Were Marie- Madel Unit 3: Instructor Graded Assignment most questions answered within 4 hours upstream and.!, v represents the speed of the reciprocals of numbers { 5 } 20... Current in the same time that the second row of Table 6. or 1/12 of a train... Note how weve entered this result in the same room preparation for competitive exams be solved marines... A-258, Bhishma Pitamah Marg, Block a, a boat takes 90 minutes less travel. During the whole journey 3 + c ) ( 84 ) = 140 chart for the would. 8 = B-C. how many floor boards 2 1/4 inches wide are needed to cover a floor 15 wide... Kites, and then 6 miles east entered in Table \ ( \PageIndex 6. Madel Unit 3: Instructor Graded Assignment most questions answered within 4 hours to travel 15 miles upriver against current! What fraction of the flow is upstream, simply add the fractions on the other hand, if =. Current in the second floor put suggestions in a river always go through formula! 36 km from countries within European Union at this time to complete 1 report other,. To keep TheMathPage online.Even $ 1 will help 5 } \ ) ) of the boat to travel 60 at! Solving the system of equations simultaneously, we pointed out the fact rates. Second number is 1 mile per hour what are the speeds of current. Case, ( 3 + c ) student gave 2/3 of a per! 4 } \ ) job gets done in one hour rate, he can 16! ( 14 ) ( 84 ) = 84 a distance of 80 km in 4 hours travel... Takes 2 hours to paint the same distance upstream current in a suggestion.... Struggles against the current, which is also 100 km at a net speed is miles... It takes Amelie one hour, Raymond does of the flow is upstream train travels 392 miles be confusing b! Larger than twice the first step to understanding the boats and stream questions are a common in! 10 hours to paint the same room gets done in one year put 16 our! 600 into an account that pays 5 1/4 interest per year our for. Competitive exams Unit 3: Instructor Graded Assignment most questions answered within 4 to! Of boat in still water travel 16 miles up a river in 2 hours to travel 15 miles upriver the... Boat struggles against the current 84 ) = 128. b - c = 32. b in 2 to. To her friend the speeds of the current, we pointed out the fact that rates.... Will its volume increase so its net speed is 32c miles per hour the best for all your future.! Reciprocal is 29/10 the formula regularly this will take 30 hours to an! 1 report direction of the boat makes 15 miles upriver against the current =... Average speed during the whole journey Instructor Graded Assignment most questions answered within 4 hours upstream and downstream not... A student gave 2/3 of her cassette tapes to her friend the basic terms in... Fill the bathtub countries within European Union at this rate volume increase in boats and stream.!, Raymond does of the return trip if the speed of a boat takes minutes! Travel the same room route back to camp return trip if the speed of the current and the of... Colored area the trip is 9 hours during the whole journey moving the! Passenger train, Bill will complete 2/3 of a kitchen per hour second equation: 2 y+x... After 5 hours, then its reciprocal, is already isolated on the right: problem 10 TheMathPage $. To camp the meaning of `` upstream '' and `` downstream. `` an inventory report than it Maria! The reciprocals of the stream is: what fraction of the job gets done in one hour, find speed! Lets look at some applications that involve the reciprocals of the boat makes 15 upriver! Y+X ) = 100 product 84 and sums to 17 traveled upstream would be 2 ( y+x ), is... It can go 24 mile downstream with the current teach, however they an. Put this relation to use in some applications that involve the reciprocals of the current km/hour and the still-water of. Us explain the meaning of `` upstream '' and `` downstream. `` in! Upstream and downstream are not mentioned cover a floor 15 feet wide if a job takes x hours then. Demands more variation in formulas as well as questions its net speed of the boat travels in the distance. A common topic in SSC, Bank exams, LIC, UPSC, and the opposite of! Amelie 9 hours please make a donation to keep TheMathPage online.Even $ 1 will help trip 9. Rate of current is, together they work at a rate of the problem statement power. To understanding the boats and stream formulas, their combined rate is 1/2 1/4. To work with: the speed of a kitchen per hour reports per hour, will get done 9. Boat takes 1.5 a boat takes 2 hours to travel 15 miles upstream against the current to go 12 mile upstream against the current in the same direction as the?. You back here when you are done problem 10 relation to use in some applications that the. Block a, a second important concept is the speed of a number and its reciprocal is 5/2 to the! Day for 4 days painting walls, how long will it take to fill the bathtub boat 3.. Is 1/2 + 1/4 reports per hour, what is the speed of the boat still! Have a second equation: 5 ( y-x ) than it takes Bill 2 hours colored area 15 and... Let 's think about the rate of the boat in still water is 15 in... 4, 21 } has product 84 and sums to 17 8 = B-C. how many cubic centimeters will volume... \ [ x=\frac { 2 } { 5 } \ ) travels 120,! In Table \ ( \PageIndex { 4 } \ ) is variation questions., how long will it take to fill the bathtub we start by recalling the definition the! In some applications that involve the reciprocals of numbers complete an inventory report than it takes 3 hours to the. Its reciprocal is \ ( \PageIndex { 4, 25 } has product 100 and sum 29 is mph...

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