Question

A leak in the bottom of a tank can empty it in 6 hr A pipe fills the tank at 4 L/min When the tank is full the inlet is opened but due to the leak the tank is emptied in 8 hr What is the capacity of the tank?

• A. 5260 L
• B. 5760 L
• C. 5846 L
• D. 6970 L

Answer 1

The correct option is B 5760 L

Work done by the inlet in 1 hour $=\frac{1}{6}-\frac{1}{8}=\frac{1}{24}$
Work done by inlet in 1 min $=\frac{1}{24}\times \frac{1}{60}=\frac{1}{1440}$
$\Rightarrow Volumeof\frac{1}{1440}part=4liters$
Volume of whole $=(1440\times 4)litres=5760litres$.