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Arithmetic Ability
Pipes and Cistern

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Q.

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

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Correct choice: C

Explanation:

Part filled in 2 hours = 2/6=1/3 Remaining part = (1− 1 3 )= 2 3 1-13=23   (A + B)'s 7 hour's work = 2/3  (A + B)'s 1 hour's work = 2/21  C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }  =1/6-2/21 = 1/14  C alone can fill the tank in 14 hours.
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