Question

A pump can fill a tank with water in $2hours$. Because of a leak, it took $2\frac{1}{3}hours$ to fill the tank. The leak can drain all the water of the tank in.

• A. $4\frac{1}{3}hrs$
• B. $7hrs$
• C. $8hrs$
• D. $14hrs$

Answer 1

The correct option is D $14hrs$

Rate of filling the Tank by Pump : $\frac{1}{2}$

Rate of leak while water is being pumped in the tank: $\frac{3}{7}$

Rate of leak in the tank: $1$ hour $=\left(\frac{1}{2}-\frac{3}{7}\right)=\frac{1}{14}$.
$\therefore$ Leak will empty the tank in $14$ hrs.