X can complete $$\frac{1}{4}$$ of a work in 3 days and Y can complete $$\frac{1}{6}$$ of the same work in 4 days. X and Y worked together for 6 days and Z alone completed the remaining work in 8 days. If Y and Z work together, how much time will they take to
complete the same work?

A

$$9\frac{1}{7}$$ days

B

10 days

C

$$13\frac{5}{7}$$

D

12 days