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

Answer:

3 hours

Step-by-step explanation:

The pool was filled at noon = $\frac{1}{3}$

After $1\frac{1}{4}=\frac{5}{4}$ hours the fool was filled = $\frac{3}{4}$

So,water filled in pool in $\frac{5}{4}$ hours = $\frac{3}{4}-\frac{1}{3}$

So,water filled in pool in $\frac{5}{4}$ hours = $\frac{5}{12}$

$\frac{5}{12}$ of pool is filled in hours =  $\frac{5}{4}$

Whole pool is filled in hours =  $\frac{\frac{5}{4}}{\frac{5}{12}}$

Whole pool is filled in hours =  $3$

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