An empty tank is connected with pipes A, B and C. A and B are inlet pipes and they fill the tank in 6 hours and 8 hours respectively, while C is an outlet pipe and it empties the completely filled tank in 5 hours. Find the time in which the tank will be completely filled if all the pipes are opened together.

A

$$10\frac{9}{11}$$ hours

B

$$9\frac{9}{11}$$ hours

C

$$10\frac{10}{11}$$ hours

D

$$9\frac{10}{11}$$ hours