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11 Apr 2017, 01:08
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (00:36) correct
7%
(00:38)
wrong
based on 113
sessions
History
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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.
(1) Hose X alone would take 34 hours to fill the pool.
(2) Hose Y alone would take 23 hours to fill the pool.
Updated on: 02 Apr 2020, 07:56
Originally posted by BrentGMATPrepNow on 11 Apr 2017, 06:21.
Last edited by BrentGMATPrepNow on 02 Apr 2020, 07:56, edited 1 time in total.
Last edited by BrentGMATPrepNow on 02 Apr 2020, 07:56, edited 1 time in total.
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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:
