Running at their respective constant rates, machine X takes 2 days longer to

Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w 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







Time taken by machine Y is = a days
Then,
Time taken by machine X is = a + 2 days
 
 Now:

W/a + W/a+2    = 5W/12
On solving : a = 4.

X takes 6 days to do w widgets. Therefore it will take 12 days to produce 2w widgets. 



Ans :E