Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machines Y. At these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 2w widgets.

Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machines Y. At these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 2w widgets.

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12

Correct Answer: A