UPSC Exam > UPSC Questions > Three pipes a,b and c can fill the tank in 72...
Start Learning for Free
Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.?
Most Upvoted Answer
Three pipes a,b and c can fill the tank in 72mins, if all the three re...
Problem Statement
Three pipes, A, B, and C can fill a tank in 72 minutes. If all three pipes are open for 36 minutes and then pipe C is closed, it takes an additional hour (60 minutes) to fill the tank using pipes A and B. We need to find the time required for pipe C to fill the tank alone.
Calculating Work Rates
- Work done by A, B, and C together in 1 minute:
Each pipe contributes to filling the tank. In 72 minutes, they fill 1 tank, thus:
Work rate of A + B + C = 1 tank / 72 minutes = 1/72 tanks per minute.
- Total work done in 36 minutes:
(1/72) * 36 = 1/2 tank is filled by A, B, and C together.
- Remaining work:
After 36 minutes, 1/2 tank remains to be filled.
Calculating Work Done by A and B
- Time taken by A and B to fill the remaining half tank:
It takes an additional 60 minutes for A and B to fill the remaining 1/2 tank.
- Work rate of A and B together:
Let the combined work rate of A and B be R. Therefore:
R * 60 = 1/2 tank gives R = 1/120 tanks per minute.
Finding Work Rate of Pipe C
- Work rate of Pipe C:
From the earlier equation:
Work rate of A + B + C = 1/72 tanks per minute,
We know R (A + B) = 1/120 tanks per minute.
Thus, the work rate of C = (1/72 - 1/120) tanks per minute.
Calculating Time for Pipe C Alone
- Simplifying Work Rates:
Finding a common denominator gives:
(5/360 - 3/360) = 2/360 = 1/180 tanks per minute.
- Time required by Pipe C alone:
Therefore, the time required to fill the tank by pipe C alone is 180 minutes.
Conclusion
Thus, Pipe C alone can fill the tank in 180 minutes.
Three pipes, A, B, and C can fill a tank in 72 minutes. If all three pipes are open for 36 minutes and then pipe C is closed, it takes an additional hour (60 minutes) to fill the tank using pipes A and B. We need to find the time required for pipe C to fill the tank alone.
Calculating Work Rates
- Work done by A, B, and C together in 1 minute:
Each pipe contributes to filling the tank. In 72 minutes, they fill 1 tank, thus:
Work rate of A + B + C = 1 tank / 72 minutes = 1/72 tanks per minute.
- Total work done in 36 minutes:
(1/72) * 36 = 1/2 tank is filled by A, B, and C together.
- Remaining work:
After 36 minutes, 1/2 tank remains to be filled.
Calculating Work Done by A and B
- Time taken by A and B to fill the remaining half tank:
It takes an additional 60 minutes for A and B to fill the remaining 1/2 tank.
- Work rate of A and B together:
Let the combined work rate of A and B be R. Therefore:
R * 60 = 1/2 tank gives R = 1/120 tanks per minute.
Finding Work Rate of Pipe C
- Work rate of Pipe C:
From the earlier equation:
Work rate of A + B + C = 1/72 tanks per minute,
We know R (A + B) = 1/120 tanks per minute.
Thus, the work rate of C = (1/72 - 1/120) tanks per minute.
Calculating Time for Pipe C Alone
- Simplifying Work Rates:
Finding a common denominator gives:
(5/360 - 3/360) = 2/360 = 1/180 tanks per minute.
- Time required by Pipe C alone:
Therefore, the time required to fill the tank by pipe C alone is 180 minutes.
Conclusion
Thus, Pipe C alone can fill the tank in 180 minutes.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.?
Question Description
Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.?.
Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.?.
Solutions for Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? defined & explained in the simplest way possible. Besides giving the explanation of
Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.?, a detailed solution for Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? has been provided alongside types of Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? theory, EduRev gives you an
ample number of questions to practice Three pipes a,b and c can fill the tank in 72mins, if all the three remain open for 36mins and then pipe c is closed it took 1 hr more to fill the tank by pipes a and b. find the time required to fill the tank by pipe c alone.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup