A piece of work can be complete by P and Q together in24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.

A

$$8\frac{4}{5}$$

B

$$29\frac{9}{13}$$

C

$$3\frac{6}{7}$$

D

$$32\frac{8}{11}$$