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.
empty pool
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Thanks. OA is C.It seems i misintepreted the question.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
Trust but verify.
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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.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
(5/4)/(5/12) = x/1
5/4 = 5x/12
60 = 20x
x = 3
Answer: C
Jeffrey Miller
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