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
[spoiler]Initially, i worked it out by making an equation:
(1/20 + 1/x )*2 = 100 x is rate per hour of new machine
I didnt get the right answer through this method.
So, I figured out that if C produces 20 units in an hour, we'll need a machine to produce @ 30 units per hour to produce 100 units in 2 hour.
My question is, where am i going wrong with the equation?[/spoiler]
A. 50
B. 45
C. 30
D. 25
E. 20
[spoiler]Initially, i worked it out by making an equation:
(1/20 + 1/x )*2 = 100 x is rate per hour of new machine
I didnt get the right answer through this method.
So, I figured out that if C produces 20 units in an hour, we'll need a machine to produce @ 30 units per hour to produce 100 units in 2 hour.
My question is, where am i going wrong with the equation?[/spoiler]
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