Question

There is a leak in the bottom of a tank. This leak can empty a full tank in 8 hours. When the tank is full, a tap is opened into the tank which admits 6 litres per hour and the tank is now emptied in 12 hours. What is the capacity of the tank?

Options

• 28.8 litres

• 36 litres

• 144 litres

• 145 litres

Answer 1

144 litres

Explanation:

Work is done by the inlet in 1 hour.

`1/8-1/12=1/24`

∵ Volume of `1/24` part = 6 litres

∴ The volume of whole = 24 × 6 litres

= 144 litres.