Question

A tank can be filled by two inlet pipes A and B, and emptied by an outlet pipe
C. Pipe A alone can fill the tank in 8 hours, pipe B alone can fill it in 12 hours, while pipe C alone can empty the full tank in 24 hours. If all three pipes are opened together when the tank is empty, in how many hours will the tank be completely filled?

A 4 hrs
B 6 hrs
C 10 hrs
D 17 hrs
E None of these
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