A man takes 16 days to complete a project. A woman does the same work in 12 days.
They started the work together on alternate days and the man worked on the first day.
How much time will they take to complete the work?

A

$$\frac{58}{4}$$ days

B

$$\frac{55}{4}$$ days

C

$$\frac{33}{4}$$ days

D

$$\frac{61}{4}$$ days