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Printer A and printer B each work at a constant rate.
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19 Aug 2020, 11:25
19 Aug 2020, 11:25
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Question Stats:
95% (01:05) correct
5% (00:54) wrong based on 20 sessions
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Printer A and printer B each work at a constant rate. Printer A can print 300 pages in 6 minutes and printer B can print 300 pages in 4 minutes. How many more copies can printer B make in 5 minutes than printer A can make in 7 minutes?
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25
Re: Printer A and printer B each work at a constant rate.
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19 Aug 2020, 11:26
19 Aug 2020, 11:26
Expert Reply
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Re: Printer A and printer B each work at a constant rate.
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19 Aug 2020, 12:25
19 Aug 2020, 12:25
3
Let's call \(r_A\) the rate at which printer A works. By definition, \(rate = \frac{number of tasks }{ time}\) to complete them.
\(r_A=\frac{300}{6}\)
In 7 minutes, A produces \(7 * r_A= 7 * \frac{300}{6 }= 350\)
Now we do the same for B.
\(r_B=\frac{300}{4}\)
In 5 minutes, B produces \( 5 * r_B = 5*\frac{300}{4}=375.\)
Thus B produces \(375 - 350 = 25 \)more copies
\(r_A=\frac{300}{6}\)
In 7 minutes, A produces \(7 * r_A= 7 * \frac{300}{6 }= 350\)
Now we do the same for B.
\(r_B=\frac{300}{4}\)
In 5 minutes, B produces \( 5 * r_B = 5*\frac{300}{4}=375.\)
Thus B produces \(375 - 350 = 25 \)more copies
