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# Hoses P and T simultaneously fill an empty swimming pool that has a ca

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Math Expert
Joined: 02 Sep 2009
Posts: 56300
Hoses P and T simultaneously fill an empty swimming pool that has a ca  [#permalink]

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18 Apr 2017, 03:47
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Difficulty:

5% (low)

Question Stats:

94% (00:44) correct 6% (01:19) wrong based on 78 sessions

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Hoses P and T simultaneously fill an empty swimming pool that has a capacity of 57,000 liters. If the flow in each hose is independent of the flow in the other hose, how many hours will it take to fill the pool?

(1) Hose P and T together fill at a rate of 1200 liters per hour.
(2) Hose T alone would take 46 hours and hose P would take half as long.

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Joined: 24 Apr 2016
Posts: 327
Re: Hoses P and T simultaneously fill an empty swimming pool that has a ca  [#permalink]

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18 Apr 2017, 08:26
Hoses P and T simultaneously fill an empty swimming pool that has a capacity of 57,000 liters. If the flow in each hose is independent of the flow in the other hose, how many hours will it take to fill the pool?

We would need either the combined rate for Hose P and T or the individual rates for Hose P and T.

(1) Hose P and T together fill at a rate of 1200 liters per hour.

This statement gives the combined rate and hence is sufficient.

(2) Hose T alone would take 46 hours and hose P would take half as long.

This statement gives the individual rates for hose T and P and hence is sufficient.

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Re: Hoses P and T simultaneously fill an empty swimming pool that has a ca  [#permalink]

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22 Aug 2018, 14:49
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Re: Hoses P and T simultaneously fill an empty swimming pool that has a ca   [#permalink] 22 Aug 2018, 14:49
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