X, Y and Z can complete a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 7 days. If Z joined them after 8 days from the beginning, then for how many days did Y work?

A

$$12\frac{5}{7}$$

B

$$10\frac{5}{7}$$

C

$$9\frac{5}{7}$$

D

$$11\frac{5}{7}$$