Question

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. the capacity of the tank (in litres) is

Answer 1

let the capacity of tank be x litres
then flow of water through leak in 1minute=x/360
according to question
x+480×4-x×480/360=0
-x/3=-480×4
X=480×12= 5760