Pipes A and C can fill an empty cistern in 32 and 48 hours, respectively while Pipe B can drain the filled cistern in 24 hours. If the three pipes are turned on together when the 2 cistern is empty, how many hours will it take for the cistern to be $\frac{2}{3}$ full ?

Pipes A and C can fill an empty cistern in 32 and 48 hours, respectively while Pipe B can drain the filled cistern in 24 hours. If the three pipes are turned on together when the 2 cistern is empty, how many hours will it take for the cistern to be $\frac{2}{3}$ full ?
1). 96
2). 64
3). 72
4). 48

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