The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same work, working 8 hours per day ?

A

$$3\frac{2}{3}days$$

B

$$4\frac{1}{2}days$$

C

$$3 days$$

D

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