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A factory has two machines. Machine X can produce 200 pins p

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by Max@Math Revolution » Mon Jun 24, 2019 12:08 am

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[GMAT math practice question]

A factory has two machines. Machine X can produce 200 pins per hour and machine Y can produce 500 pins per hour. At least one machine is in operation throughout the 8-hour work day. The factory must produce 5,000 pins every day. What is the least possible number of hours that machines X and Y must work together on each day?

A. 4
B. 5
C. 6
D. 7
E. 8
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by Max@Math Revolution » Tue Jun 25, 2019 11:52 pm
=>

In order to minimize the number of hours that the two machines work together, the more efficient machine Y should work for the entire day.
Thus, Y works for 8 hours and produces 8 * 500 = 4,000 pins.
There are 1,000 pins remaining for machine X to produce. This takes 1,000/200 = 5 hours.

Therefore, B is the answer.
Answer: B
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