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

Quant (SSC) Pipes&cistern

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

12hrs

10hrs

18hrs

8hrs

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Explanation:

A+B+C in 1h = 1/6
A+B+C in 2h = 2/6 = 1/3
Remaining = 1-1/3 = 2/3
A+B in 6hrs = 2/3
A+B in 1hr = 2/18
C alone to fill the cistern = 1/6 – 2/18
= 3-2/18 = 1/18
Hence, option 3 is the correct answer.