A can do a work in 18 days. A and B working together can do the same work in 8 days, whereas B and C working together can do the same work in 6 days. In how many days can A, B and C working together do the same work?

A

$$4\frac{3}{4}$$

B

$$3\frac{1}{2}$$

C

$$4\frac{1}{2}$$

D

$$3\frac{4}{5}$$