# Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

In one hour :

Tank Filled by A = 1/5
Tank Filled by B = 1/6
Tank Empty be C = 1/12

If three pipes are combined then tank filled in one hour =1/5 + 1/6 - 1/12= 17/60
17/60 of tanked filled in one hour.
So time taken to fill tank = 60/17 * 1= 3.5 hours

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