Question

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 114114 hours later it was 3/4 full. What was the total number of hours that it took the pump to fill the pool?

A. 213213
B. 223223
C. 3
D. 312312
E. 323

Answer 1

3 hours

Explanation:

The pool was filled at noon =
`(1)/(3)`

After
`1(1)/(4)=(5)/(4)` hours the fool was filled =
`(3)/(4)`

So,water filled in pool in
`(5)/(4)` hours =
`(3)/(4)-(1)/(3)`

So,water filled in pool in
`(5)/(4)` hours =
`(5)/(12)`

`(5)/(12)` of pool is filled in hours =
`(5)/(4)`

Whole pool is filled in hours =
`((5)/(4))/((5)/(12))`

Whole pool is filled in hours =
`3`

Hence it took 3 hours the pump to fill the pool .