X and Y together can do a work in $$2\frac{2}{5}$$ days. Y and Z together can do the same workin 3 days. and X and Z together can do the same work in 4 days. The time taken by X, Y and Z together to do the same work is:

A

1 day

B

2 day

C

$$\frac{1}{2}$$ day

D

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