# | | Question 8

A leak can empty a completely filled tank in 10 hours. If a tap is opened in completely filled tank which admits 4 liters of water per minute, then leak takes 15 hours to empty the tank. How many litres of water does the tank hold?
(A) 2400 litres
(B) 4800 litres
(C) 7200 litres
(D) 9600 litres

Explanation: Take LCM (10, 15) = 30
Let leak pipe is A and A’s efficiency = 30/10 = 3
Let inlet pipe B and B’s efficiency= 30/15 = 2
Pipe A is emptying at 3 units/hour and Pipe B is filling using then emptying rate down to 2 units/hour.
So, filling pipe efficiency is 3 – 2 = 1 unit/ hour.
Pipe B will fill tank in 30/1=30 hours
Filling rate = 4 litre/minute
It will fill 4 x 60 = 240 litre/hour.
Total capacity= 240 x 30 = 7200 litres

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