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Pipes A and C can fill an empty cistern ...

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 cistern is empty, how many hours will it take for the cistern to be `2/3` full?

A

64

B

96

C

72

D

48

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