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On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?
- a)8 minutes
- b)10 minutes
- c)12 minutes
- d)14 minutes
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
On pipe P is 4 times faster than pipe Q and takes 45 minutes less than...
Let P takes x minutes to fill the tank alone, then Q will take 4x minutes to fill the tank
4x – x = 45, x = 15
So P will take 15 minutes and Q will take 60 minutes to fill the tank. Both will fill the tank in
(60*15)/(75) = 12 minutes
4x – x = 45, x = 15
So P will take 15 minutes and Q will take 60 minutes to fill the tank. Both will fill the tank in
(60*15)/(75) = 12 minutes
Most Upvoted Answer
On pipe P is 4 times faster than pipe Q and takes 45 minutes less than...
Let P takes x minutes to fill the tank alone, then Q will take 4x minutes to fill the tank
4x – x = 45, x = 15
So P will take 15 minutes and Q will take 60 minutes to fill the tank. Both will fill the tank in
(60*15)/(75) = 12 minutes
4x – x = 45, x = 15
So P will take 15 minutes and Q will take 60 minutes to fill the tank. Both will fill the tank in
(60*15)/(75) = 12 minutes
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Community Answer
On pipe P is 4 times faster than pipe Q and takes 45 minutes less than...
Problem Statement:
Pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?
Solution:
Let's assume that pipe Q takes x minutes to fill the cistern.
Therefore, pipe P will take (x/4) minutes to fill the same cistern.
Given, time taken by pipe P is 45 minutes less than that of pipe Q.
So, we can write the equation as:
x - (x/4) = 45
Solving the above equation, we get:
3x/4 = 45
x = 60
Therefore, pipe Q takes 60 minutes to fill the cistern.
Now, let's find out the time taken by both pipes together to fill the cistern.
Let's assume that the time taken by both pipes together is t minutes.
So, the fraction of work done by pipe Q in 1 minute is 1/60 and the fraction of work done by pipe P in 1 minute is 4/60 = 1/15.
Therefore, the fraction of work done by both pipes together in 1 minute is:
1/60 + 1/15 = 1/12
So, both the pipes together can fill the cistern in 12 minutes.
Hence, the correct answer is option C) 12 minutes.
Pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?
Solution:
Let's assume that pipe Q takes x minutes to fill the cistern.
Therefore, pipe P will take (x/4) minutes to fill the same cistern.
Given, time taken by pipe P is 45 minutes less than that of pipe Q.
So, we can write the equation as:
x - (x/4) = 45
Solving the above equation, we get:
3x/4 = 45
x = 60
Therefore, pipe Q takes 60 minutes to fill the cistern.
Now, let's find out the time taken by both pipes together to fill the cistern.
Let's assume that the time taken by both pipes together is t minutes.
So, the fraction of work done by pipe Q in 1 minute is 1/60 and the fraction of work done by pipe P in 1 minute is 4/60 = 1/15.
Therefore, the fraction of work done by both pipes together in 1 minute is:
1/60 + 1/15 = 1/12
So, both the pipes together can fill the cistern in 12 minutes.
Hence, the correct answer is option C) 12 minutes.
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On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?a)8 minutesb)10 minutesc)12 minutesd)14 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?a)8 minutesb)10 minutesc)12 minutesd)14 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?a)8 minutesb)10 minutesc)12 minutesd)14 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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