Running at their respective constant rates, machine \(X\) takes \(2\) days longer to produce \(w\) widgets than machines

[VJesus12]

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 \(\dfrac{5w}4\) 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

Answer: E

Source: GMAT Prep