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Three taps A, B and C together can fill a tank in 6 hours. After working for 2 hours, C is closed and A and B filled the tank in 8 more hours. Find the time in which C alone can fill the tank.

A.	6 hrs	B.	8 hrs
C.	12 hrs	D.	24 hrs

Answer and Explanation

Answer:12 hrs

Explanation:
In one hour (A + B + C) can fill 1/6 of the tank
In 2 hours ( A + B + C) can fill 2/6 = 1/3 of the tank
Remaining part of the tank to be filled = 1 – 1/3 = 2/3 of the tank
Time taken by (A+B) to fill 2/3 of tank = 8 hours
(A+B) can fill the whole tank in 8 × 3/2 = 12 hours
C alone can fill the tank in [1/6 – 1/12 = 1/12]
12 hours

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