candace_washington1980 wrote:
Hi I,m new this website, I have several questions from the gmat test prep that I'm having difficulty with. I was able to get this one correct but I'm not sure how I got it. Please help.
Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine?
A. 50
B. 45
C. 30
D. 25
E. 20
The answer is C, but how?
I guess there are number of ways to work this out. My way is
Old machine processes 100 units of the product in 5 hrs.
Therefore, it produces 20 units per hr.
Old machine + New machine must produce 100 units in 2 hrs.
Therefore, 50 units per hr.
Since old machine produces 20 units per hr, the new machine must produce at 30 units per hr to get a total of 20+30=50 units per hr.