A and B can finish a work in 15 days and 10 days, respectively. A started the work alone and after 5 days, B joined A in the work. They both did the remaining work. What is the total number of days to complete the work?

A

$$10\frac{1}{3}$$ days

B

$$9$$ days

C

$$9\frac{2}{3}$$ days

D

$$9\frac{1}{3}$$ days