A man can complete a work in 20 days, and a woman can complete the same work in 10 days. If they work on it together for 5 days, then how many days will the woman take to complete the rest of the work?

A

$$2\frac{1}{2}$$

B

$$1\frac{1}{4}$$

C

$$3\frac{1}{2}$$

D

$$1\frac{1}{2}$$