Two pipes can fill a tank in 6 hours and 8 hours respectively while a third pipe empties the full tank in 12 hours. If all three pipes operate simultaneously, in how much time will the tank be filled?
1
\(\frac{15}{2}\)
2
\(\frac{24}{5}\)
3
\(\frac{23}{7}\)
4
\(\frac{6}{5}\)