Kajal can do a piece of work alone in 24 days, while Neha can do the same work alone in 40 days. Kajal started the work alone, and then after 12 days, Neha jo ined her till the completion of the work. How long did the work take to be completed since Kajal started to work on it?

A

$$\frac{37}{4}$$ days

B

$$\frac{39}{4}$$ days

C

$$\frac{39}{2}$$ days

D

$$\frac{37}{2}$$ days