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Arithmetic Ability
Pipes and Cistern

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Q.

A pump can fill a tank with water in 2 hours. Because of a leak, it took  2 1 3 213  hours to fill the tank. The leak can drain all the water of the tank in:

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Correct choice: D

Explanation:

If the total area of pump=1 part The pumop take 2 hrs to fill 1 part  The pumop take1 hour to fill 1/2 portion   Due to lickage   The pumop take 7/3 hrs to fill 1 part  The pumop take1 hour to fill 3/7 portion  Now the difference of area = (1/2-3/7)=1/14   This 1/14 part of water drains in 1 hour  Total area=1 part of water drains in (1x14/1)hours= 14 hours   So the leak can drain all the water of the tank in 14 hours.  Leak will empty the tank in 14 hrs
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