Answer:
3 hours
Step-by-step explanation:
The pool was filled at noon = [tex]\frac{1}{3}[/tex]
After [tex]1\frac{1}{4}=\frac{5}{4}[/tex] hours the fool was filled = [tex]\frac{3}{4}[/tex]
So,water filled in pool in [tex]\frac{5}{4}[/tex] hours = [tex]\frac{3}{4}-\frac{1}{3}[/tex]
So,water filled in pool in [tex]\frac{5}{4}[/tex] hours = [tex]\frac{5}{12}[/tex]
[tex]\frac{5}{12}[/tex] of pool is filled in hours = [tex]\frac{5}{4}[/tex]
Whole pool is filled in hours = [tex]\frac{\frac{5}{4}}{\frac{5}{12}}[/tex]
Whole pool is filled in hours = [tex]3[/tex]
Hence it took 3 hours the pump to fill the pool .
