14. Three pipes A, B and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B fill the remaining part in 7 hours. How much time will take alone to fill the tank?
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Part of the tank filled by three pipes (A + B + C) in 1 hour = 16
∴ Part filled by in 2 hour = 2/6=1/3
∴ Remaining part = 1−1/3=2/3
Part filled by (A + B) in 7 hours = 2/3
∴ (A + B )'s 1 hour's work = 2/21
∴ Part filled by C in 1 hour
= Part filled by (A + B + C) in 1 hour - Part filled by (A + B) in 1 hour
= 1/6−2/21=14−8/84=6/84=1/14
∴ C alone can fill the tank in 14 hours
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