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Pipes A and dB can completely fill a ...

Pipes A and dB can completely fill a water tank in 4 hours and 5 hours respectively. A pipe C an empty a tank filled completely with water in 3 hours. Initially, the tank is empty and all pipes are closed. Pipe A is opened first at time `t=0\ ` and pipe C is opened at the instant when the tank is exactly half filled with water. Pipe B is opened after pipe C and at the instant when the tank is exactly one-fourth filled with water. Find the total time taken to fill the tank completely counting for `t=0` .

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