A and B can do a cerain work in $$22\fra{1}{2}$$ days and 30 days, respectively. They started the work together but after 6 days, B had to leave. Then, A working with C completed the remaining work in 3 days. C alone can complete the original work in:

A

$$7\frac{1}{2}$$ days

B

$$8\frac{1}{2}$$ days

C

8 days

D

9 days