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A swimming pool is supplied water by two pipes, P and Q. If pipe P ope

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A swimming pool is supplied water by two pipes, P and Q. If pipe P ope  [#permalink]

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New post 05 Jan 2018, 14:07
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Question Stats:

74% (00:59) correct 26% (00:52) wrong based on 72 sessions

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A swimming pool is supplied water by two pipes, P and Q. If pipe P operating alone can fill the pool in 12 hours, how long will it take pipe Q operating alone to fill the pool?

(1) Operating together, pipes P and Q can fill the pool in 4 hours.
(2) Pipe P supplies water at the rate of 520 gallons per hour, and 6240 gallons are required to fill the pool.

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Re: A swimming pool is supplied water by two pipes, P and Q. If pipe P ope  [#permalink]

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New post 05 Jan 2018, 15:04
Statement 1 - let's assume the pool is very small and has a capacity of 24 liters. Pipe P fills the pool up in 12 hours, therefore, it fills 2 liters per hour. Pipes P and Q together fill the pool up in 4 hours, therefore, they fill 6 liters per hour. If P + Q = 6 and P = 2, then Q fills 4 liters per hour, therefore, Q takes 6 hours to fill the pool on its own. Sufficient

Statement 2 - no information about pipe Q. Insufficient

Answer A
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Re: A swimming pool is supplied water by two pipes, P and Q. If pipe P ope  [#permalink]

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New post 06 Jan 2018, 09:48
SajjadAhmad wrote:
A swimming pool is supplied water by two pipes, P and Q. If pipe P operating alone can fill the pool in 12 hours, how long will it take pipe Q operating alone to fill the pool?

(1) Operating together, pipes P and Q can fill the pool in 4 hours.
(2) Pipe P supplies water at the rate of 520 gallons per hour, and 6240 gallons are required to fill the pool.


(1) We are given that pipe P alone fills 1/12 fraction of the pool every hour, and together pipe P and Q fill 1/4 fraction of the pool every hour. So on the basis of this information we can find the fraction supplied by pipe Q (it will be 1/4 - 1/12 = 1/6). This in turn, will give us the time required by pipe Q alone to fill the pool. Sufficient.

(2) This statement gives no information about pipe Q, insufficient.

Hence A answer
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Re: A swimming pool is supplied water by two pipes, P and Q. If pipe P ope &nbs [#permalink] 06 Jan 2018, 09:48
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A swimming pool is supplied water by two pipes, P and Q. If pipe P ope

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