Two pipes A and B can fill a tank in 20 and 30 hours, respectively. Both pipes are opened to fill the tank, but when the tank is one-third full, a leak develops through which one-fourth of the water supplied by both pipes goes out. Find the total time (in hours) taken to fill the tank.
1
\(14 \frac{2}{3}\)
2
14
3
\(11 \frac{2}{5}\)
4
\(12 \frac{1}{3}\)