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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: 49968
Hoses P and T simultaneously fill an empty swimming pool that has a ca  [#permalink]

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19 Mar 2017, 06:58
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Difficulty:

5% (low)

Question Stats:

95% (00:50) correct 5% (00:12) wrong based on 59 sessions

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Hoses P and T simultaneously fill an empty swimming pool that has a capacity of 30,000 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 T alone would take 4 hours and hose P would take half as long.
(2) Half of the pool was filled by 8 a.m.

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Joined: 10 Apr 2015
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Re: Hoses P and T simultaneously fill an empty swimming pool that has a ca  [#permalink]

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19 Mar 2017, 08:48

1. Hose T alone would take 4 hours and hose P would take half as long, i.e., 2 hours.

Rate of T = Rt = 30000/ 4.
Rate of P = Rp = 30000/ 2.

Time = 30000 / (Rt + Rp)

2. No mention of start time. so it does not matter whether it is filled by 8 a.m. or whatever time.
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Re: Hoses P and T simultaneously fill an empty swimming pool that has a ca &nbs [#permalink] 19 Mar 2017, 08:48
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