Pipes A and B can fill a tank in 7 hours and 10 hours respectively while pipe C can empty the tank in 14 hours. If all the pipes are started simultaneously, how much time will be taken to fill the tank?

1
6\(\frac{1}{6}\) hours
2
6\(\frac{2}{3}\) hours
3
5\(\frac{1}{2}\) hours
4
5\(\frac{5}{6}\) hours

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