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Bunuel
Two machines, working simultaneously at their respective constant rates, can print 400 sheets in 5 hours. If one machine can print 200 sheets in 3 hours, what is the rate of the other machine, in sheets per hour?

A. 40/3
B. 80/3
C. 100/3
D. 80
E. 200
Solution:

We see that the first machine has a rate of 200/3 sheets per hour. If the second machine has a rate of x sheets per hour, we can recreate the equation:

5(200/3 + x) = 400

1000/3 + 5x = 400

1000 + 15x = 1200

15x = 200

x = 200/15 = 40/3

Alternate Solution:

We see that when both machines work together, they print 400 x 3 = 1,200 sheets in 3 x 5 = 15 hours. One of the machines can print 200 x 5 = 1,000 sheets in 15 hours; therefore, the other machine can print 1200 - 1000 = 200 sheets in 15 hours. It follows that the rate of the other machine is 200/15 = 40/3 sheets/hour.


Answer: A
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