Wednesday, October 8, 2014

pipes and cistern

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 liters a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 24 hours. How many liters does the cistern hold?


Answer:

in one hour the tank is full by = 1/6 - 1/24 = 3/24 = 1/8
So, the tank will get filled in 8 hours= 480 mins
so, water holding = 480 mins x 4 litres / min = 1920 litres


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