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Hoses X and Y simultaneously fill an empty swimming pool that has a ca

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Hoses X and Y simultaneously fill an empty swimming pool that has a ca  [#permalink]

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New post 11 Apr 2017, 00:08
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  5% (low)

Question Stats:

95% (00:32) correct 5% (00:31) wrong based on 79 sessions

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Hoses X and Y simultaneously fill an empty swimming pool that has a capacity of 64,000 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 X alone would take 34 hours to fill the pool.
(2) Hose Y alone would take 23 hours to fill the pool.

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

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New post 11 Apr 2017, 05:11
stat 1: no info abt Hose Y

stat 2: no info abt Hose X

both combined suff

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

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New post 11 Apr 2017, 05:21
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Bunuel wrote:
Hoses X and Y simultaneously fill an empty swimming pool that has a capacity of 64,000 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 X alone would take 34 hours to fill the pool.
(2) Hose Y alone would take 23 hours to fill the pool.


Target question: How many hours will it take to fill the pool?

Statement 1: Hose X alone would take 34 hours to fill the pool.
No information about Hose Y's rate.
Statement 1 is NOT SUFFICIENT

Statement 2: Hose Y alone would take 23 hours to fill the pool.
No information about Hose X's rate.
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us Hose X's rate
Statement 2 tells us Hose Y's rate
Since we know the exact fill rates of each hose, we COULD determine their combined rate, which means we COULD determine how long will it take them to fill the pool together
Of course, performing those tedious calculations on test day is a bad idea, since we need only determine whether or not the statements are sufficient.
Since we COULD answer the target question with certainty, the combined statements are SUFFICIENT

Answer:

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

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New post 11 Apr 2017, 06:52
Hoses X and Y simultaneously fill an empty swimming pool that has a capacity of 64,000 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 X alone would take 34 hours to fill the pool.
(2) Hose Y alone would take 23 hours to fill the pool.


to calculate the amount of time required to fill the pool
we need to know the rate of each hose
answer is C
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Re: Hoses X and Y simultaneously fill an empty swimming pool that has a ca  [#permalink]

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New post 17 Oct 2018, 09:34
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Re: Hoses X and Y simultaneously fill an empty swimming pool that has a ca   [#permalink] 17 Oct 2018, 09:34
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