Three pipes A, B, C are attached to a tank respectively. Pipe A, B are filling pipes that can fill the tank in 45 and 54 minutes while C can empty the tank in 72 Minutes. Pipe A, C are opened for 30 minutes then they are closed, Pipe B and C are opened for 24 minutes then they are closed. After that, all three pipes were opened for the whole time. Find the time taken by all pipes to fill the remaining tank?

1
680/29
2
700/31
3
690/29
4
690/31

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