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QUANT 4-PACK SERIES Problem Solving Pack 3 Question 4 Two printing presses begin printing...Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?
A) 2
B) 3
C) 4
D) 5
E) 6
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This question is part of the Quant 4-Pack seriesScroll Down For Official Explanation Hi All,
'Rate' questions on the GMAT often require an additional calculation (to convert one type of 'unit' to another), so it's important to pay careful attention to the unit measures involved.
Here, we have two different printing presses creating different currencies/minute.
Press F produces 1,000 5-dollar bills per minute --> or 5,000 dollars in currency per minute
Press T produces 200 20-dollar bills per minute --> or 4,000 dollars in currency per minute
We're asked to determine how long it would take (in SECONDS) for Press F to create 50 dollars MORE currency than Press T.
Since we know how much currency each press produces per minute, we just have to convert the necessary units to answer the question. The difference in dollars per MINUTE is 5,000 - 4,000 = 1,000. So Press F produces 1,000 dollars MORE per MINUTE than Press T. One minute = 60 seconds, so to create 50 dollars more, we need to divide both sides of the calculation by 20...
1,000 dollars = 60 seconds
1,000/20 dollars = 60/20 seconds
50 dollars = 3 seconds
Final Answer:
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