A person P can complete a work in 40 days . A second person Q can complete the same work in 35 days. Both P and Q work together for 14 days and then P goes away. The number of days that Q takes to complete the remaining work is

A

$$12\frac{1}{4}$$

B

$$10\frac{1}{2}$$

C

$$9\frac{3}{4}$$

D

$$8\frac{3}{4}$$