Question 181

A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres a minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. Find the capacity of the tank.

Solution

Part of tank filled by inlet pipe in 1 hour

= $$\frac{1}{6}-\frac{1}{8}$$ = $$\frac{4-3}{24}$$ = $$\frac{1}{24}$$

Hence, if there is no leak, the inlet pipe will fill the tank in 24 hours

=> Capacity of the tank = 24*60*4 = 5760 litres

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