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# A water pump began filling an empty swimming pool with water and ran a

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Math Expert
Joined: 02 Sep 2009
Posts: 56272
A water pump began filling an empty swimming pool with water and ran a  [#permalink]

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26 Sep 2018, 05:13
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Difficulty:

5% (low)

Question Stats:

88% (01:39) correct 13% (03:06) wrong based on 64 sessions

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A water pump began filling an empty swimming pool with water and ran at a constant rate til the swimming pool was full. At sometime, the pool was 1/2 full, and 7/3 hours later, it was 5/6 full. How many hours would it take the pump to fill the empty pool completely?

(A) 4
(B) 16/3
(C) 7
(D) 36/5
(E) 25/3

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Joined: 19 Oct 2013
Posts: 525
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: A water pump began filling an empty swimming pool with water and ran a  [#permalink]

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28 Sep 2018, 14:18
We know it was 1/2 then 7/3 hours later it became 5/6 full.

So the difference would be 5/6 - 1/2 = 5/6 - 3/6 = 2/6 = 1/3 in 7/3 hours.

Given that it will fill 1/3 in 7/3 hours.

We want it to fill completely so that would be 7/3 * 3 = 7

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Joined: 12 Apr 2017
Posts: 116
Location: United States
Concentration: Finance, Operations
GPA: 3.1
A water pump began filling an empty swimming pool with water and ran a  [#permalink]

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15 Dec 2018, 11:40
My approach (probably not the most efficient).

from 1/2 full to 5/6 full it was 1/3 of total time to fill in the pool.

So 1/2 = 3/6

5/6 - 3/6 = 1/3,

1/3 of the pool was filled in by water in 7/3 hours.

So take 7/3 * 3 and get 21/3 = 7 hours total time to fill in the pool.
A water pump began filling an empty swimming pool with water and ran a   [#permalink] 15 Dec 2018, 11:40
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