A can do a piece of work in 8 days. The efficiency of B is half the efficiency of A, and the efficiency of C is 50% more than the efficiency of B. If all the three work together, what part of the work will they finish in 2 days?

A

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

B

$$\frac{9}{16}$$

C

$$\frac{3}{8}$$

D

$$\frac{9}{32}$$