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A pump started filling an empty pool with water and continue

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Manager
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A pump started filling an empty pool with water and continue [#permalink] New post 20 Nov 2008, 10:30
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Question Stats:

89% (02:19) correct 11% (01:51) wrong based on 62 sessions
A pump started filling an empty pool with water and continued at a constant rate until the pool was full. At noon the pool was 1/3 full, and 1\frac{1}{4} hours later it was 3/4 full. What was the total number of hours that it took the pump to fill the pool?

A. 2\frac{1}{3}
B. 2\frac{2}{3}
C. 3
D. 3\frac{1}{2}
E. 3\frac{2}{3}
[Reveal] Spoiler: OA

Last edited by Bunuel on 11 Apr 2014, 02:29, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: pump--25 [#permalink] New post 20 Nov 2008, 22:18
Jcpenny wrote:
A pump started filling an empty pool with water and continued at
a constant rate until the pool was full. At noon the pool was 1/3 full,
and 1+1/4 hours later it was 3/4 full. What was the total number of
hours that it took the pump to fill the pool?
A. 2+1/3 B. 2+2/3 C. 3
D. 3+1/2 E. 3+2/3


in 1+1/4 =5/4 hrs the pump filled 3/4-1/3 = 5/12th of the pool
in 1 hr it fills 1/3 of the pool
so in 3 hrs it will fill the entire pool.
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Re: pump--25 [#permalink] New post 10 Apr 2014, 16:22
alpha_plus_gamma wrote:
Jcpenny wrote:
A pump started filling an empty pool with water and continued at
a constant rate until the pool was full. At noon the pool was 1/3 full,
and 1+1/4 hours later it was 3/4 full. What was the total number of
hours that it took the pump to fill the pool?
A. 2+1/3 B. 2+2/3 C. 3
D. 3+1/2 E. 3+2/3


in 1+1/4 =5/4 hrs the pump filled 3/4-1/3 = 5/12th of the pool
in 1 hr it fills 1/3 of the pool
so in 3 hrs it will fill the entire pool.


I was with you up until 5/12th of the pool. How did you get the in 1 hour it fills 1/3 of the poor?
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Re: A pump started filling an empty pool with water and [#permalink] New post 10 Apr 2014, 19:13
Expert's post
Jcpenny wrote:
A pump started filling an empty pool with water and continued at
a constant rate until the pool was full. At noon the pool was 1/3 full,
and 1+1/4 hours later it was 3/4 full. What was the total number of
hours that it took the pump to fill the pool?
A. 2+1/3 B. 2+2/3 C. 3
D. 3+1/2 E. 3+2/3




The time elapsed between 1/3 full pool and 3/4 full pool is 5/4 hrs. This means 3/4 - 1/3 = 5/12 of the pool was filled in 5/4 hrs.

Again, (5/12)th of the pool will be filled in 5/4 hrs

1 pool will be filled in \frac{5/4}{5/12} * 1 = 3 hrs
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Re: A pump started filling an empty pool with water and   [#permalink] 10 Apr 2014, 19:13
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