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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 6 hours. The number of hours taken by C alone to fill the tank is:

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 6 hours. The number of hours taken by C alone to fill the tank is: Correct Answer 18 hours

A + B + C fill the tank in 6 hrs A + B + C fill in 2 hrs = 2/6 = 1/3 Remaining = 1 - 1/3 = 2/3 In 6 hrs A + B fill 2/3 In 1 hr A + B fill 2/3 × 1/6 = 1/9 Now C alone fill in 1 hr = 1/6 – 1/9 = 1/18 So, C needs 18 hrs to fill the tank. ans: 18 hrs

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