Chapter A.8, Problem 49AYU

To determine

To find: How long will it take for the tub to fill if both faucets are open and the stopper is removed?

Answer to Problem 49AYU

The tub will fill in 1 hour.

Explanation of Solution

Given:

A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both faucets closed and the stopper removed, the tub will empty in 20 minutes.

Calculation:

Number of minutes to fill $=m$.

$\frac{m}{15}-\frac{m}{20}=1$

$4m-3m=60$

$m=60\text{minutes}$

Therefore the tub will fill in 1 hour.