Two taps A and B can independently fill a tank in 30 minutes and 45 minutes respectively and a pump C can empty full tank in 20 minutes. If all are opened for 10 minutes and the pump C is closed. then the time required to fill the tank (in minutes) is?

A

17

B

$$25\frac{1}{3}$$

C

$$15\frac{1}{3}$$

D

27