Two pipes A and can fill an empty tank in 10 hours and 16 hours respectively. They are opened alternately for 1 hour each, opening pipe first. In how many hours, will the empty tank be filled?

A

$$14\frac{2}{5}$$

B

$$16\frac{2}{5}$$

C

$$10\frac{2}{5}$$

D

$$12\frac{2}{5}$$