Three pipes A B and C can fill a tank in 6 hours After working at it together for 2 hours C is close...........

Quant (SSC) Pipes&cistern

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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Explanation:

Part filled in 2 hours = 2/6=1/3
Remaining part =(1−1/3)=2/3
(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.