A tank has four pipes $$P_{1},P_{2},P_{3}$$ and $$P_{14}$$. The tank can be filled in 15 minutes by pipes $$P_{1},P_{2},P_{3}$$ together. It can be filled in 20 minutes by pipes $$P_{2},P_{3},P_{4}$$ together and it can be filled by pipes $$P_{1},P_{4}$$ together in 30 minutes. If all the pipes are opened together, then in how much time will the tank be filled?

A

10 min 20 sec

B

12 min 20 sec

C

13 min 20 sec

D

11 min 20 sec