A leak in the bottom of a tank can empty the whole tank in 6 hours. An inlet pipe fills water are the rate of 5 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 10 hours. How many liters does the tank hold?

Question: A leak in the bottom of a tank can empty the whole tank in 6 hours. An inlet pipe fills water are the rate of 5 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 10 hours. How many liters does the tank hold? Solution:Work done by the inlet pipe in 1 hour = ( 1/6 - 1/10 ) = 2/30 = 1/15Work done by the inlet pipe in 1 minute = ( 1/15 × 1/60 ) = 1/900 Volume of 1/900 part = 5 liters Volume of the whole tank = ( 900 × 5 ) = 4500 liters