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:

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: Correct Answer 3917hours

A in 1 hour fills 1/5 part B in 1 hour fills 1/6 part C in one hour empties 1/12 Part Together they fill in 1 hour = 1/5 + 1/6 - 1/12 = (12 + 10 - 5)/60 = 17/60 part Total Time = 60/17 = 3 (9/17) hours
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