$$P_{1}$$ alone can do $$\frac{2}{3}$$ of the work in 8 days. $$P_{2}$$ alone can do $$\frac{7}{12}$$ of the work in 14 days. $$P_{3}$$ alone can do $$\frac{8}{15}$$ of the work in 16 days. In how many days can they complete the work, if all three work together?

A

$$\frac{60}{19}$$ days

B

$$\frac{120}{19}$$ days

C

$$\frac{100}{17}$$ days

D

$$\frac{80}{17}$$ days