Pipes A and B can fill a tank in 20 hours and 12 hours respectively. Pipe C is the outlet pipe. When all the three pipes are opened simultaneously for 5 hours, \(\frac{1}{6}\) part of the tank is filled. Initially, A and B together fills \(\frac{3}{5}\) part of the tank and then C is also opened. In how many hours will the tank be full?
1
16
2
17
3
\(16\frac{1}{2}\)
4
\(15\frac{1}{2}\)