If a copier makes 7 copies every 5 seconds, then he continues at this rate, how many minutes will it take to make 4200 copies?
Correct answer: A. 50
- A. 50
- B. 60
- C. 70
- D. 80
Explanation
Let x be the time in seconds.The copier makes 7 copies every 5 seconds, so the rate is 7/5 copies per second.Now, set up the proportion:7/5=4200/xTo solve for x, cross-multiply:7x= 5 × 42007x= 21000Now, divide by 7 to find x:X = 21000/7= 3000So, it takes 3000 seconds to make 4200 copies.Now, let's convert 3000 seconds to minutes. There are 60 seconds in a minute:minutes=3000/60=50Therefore, it will take 50 minutes to make 4200 copies if the copier continues at this rate.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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