A alone can do 2/5 of a work in 12 days. B is 25 percent more efficient than A. C alone can do the same work in 12 days less than B. D is 25 percent less efficient than C. If they all work together, then the work will be completed in how many days?

A

$$\frac{200}{51}$$

B

$$\frac{240}{53}$$

C

$$\frac{180}{43}$$

D

$$\frac{300}{47}$$