# 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. GMAT Explanation

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

This is one of the toughest work and rate questions in the GMAT universe and in the private tutoring program we only use it as a learning question without any expectations that a student will get it on their own.

If you feel challenged by this: that’s OK. You can still get a 750 skipping a question like this one.

Still, there are things to notice here that will help you solve other work and rate questions that you need to tackle in order to have a good chance at achieving a great GMAT score. Video explanation breaking it all down below!

## Video Explanation

Correct Answer: E