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empty pool

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by success1111 » Tue May 05, 2009 8:19 pm
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

i am surprised my answer wasn't there.Am i missing something.
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Source: — Problem Solving |

My answer is 3 hrs

by preetosh » Tue May 05, 2009 8:47 pm
Hi

IMO answer is 3 hrs.
Check it and let me know

In 1+1/4 hrs , pool was filled 3/4 -1/3 = 5/12

It means in 5/12 pool is filled in 5/4 hrs
So pool will be completely filled in (5/4) * (12/5) = 3 hrs
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by yashanth.ponnanna » Tue May 05, 2009 9:45 pm
Its C
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by Pranay » Wed May 06, 2009 12:16 am
yashanth.ponnanna wrote:Its C


Agree with both of them above ..
:D
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Re: My answer is 3 hrs

by success1111 » Wed May 06, 2009 4:34 pm
preetosh wrote:Hi

IMO answer is 3 hrs.
Check it and let me know

In 1+1/4 hrs , pool was filled 3/4 -1/3 = 5/12

It means in 5/12 pool is filled in 5/4 hrs
So pool will be completely filled in (5/4) * (12/5) = 3 hrs
Thanks. OA is C.It seems i misintepreted the question.
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by Jeff@TargetTestPrep » Wed Dec 13, 2017 7:36 am
success1111 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
Since it took 1 1/4 = 5/4 hours to fill 3/4 - 1/3 = 9/12 - 4/12 = 5/12 of the pool, we can let x = the number of hours to fill the pool and create a proportion to determine how long it will take to fill the entire pool.

(5/4)/(5/12) = x/1

5/4 = 5x/12

60 = 20x

x = 3

Answer: C

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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