P can do a work in `((1)/(4))^(th)` of time in which Q alone can do and R can do the same work in same time as P and Q together will take. If all three working together can complete the work in 16 days, then find in how many days P and R together can complete the work?

Options

A. A)`(200)/(9)`days
B. B)`(148)/(9)`days
C. C)`(130)/(9)`days
D. D)`(160)/(9)`days