Two taps A and B can fill a tank independently in 10 and 15 minutes respectively while C empties the full tank in 20 minutes. If all the three are opened for 1 minute and C is closed then extra time (in minutes) to get the tank filled is

A

$$8\frac{3}{10}$$

B

$$7\frac{3}{10}$$

C

$$6\frac{3}{10}$$

D

$$5\frac{3}{10}$$