One tap can fill a tank in 3 hours and a leak can empty the tank in 5 hours. If the tap and the leak (which was half closed) were left open. how long will it take for the tank to fill?

A

$$4\frac{2}{7}$$ hours

B

$$7\frac{1}{2}$$ hours

C

$$5\frac{1}{3}$$ hours

D

$$6\frac{2}{3}$$ hours