Pipes A, B and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours,respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

A

$$\frac{36}{11}$$

B

$$\frac{48}{11}$$

C

$$\frac{60}{11}$$

D

$$\frac{24}{11}$$