To compare the number of pages printed by Harry and Matt in 120 seconds, we first need to determine Harry's printing rate and then calculate the number of pages printed by both in that time.
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Harry's Printing Rate: Harry prints 5 pages in 40 seconds. To find his printing rate in pages per second: \[ \text{Harry's rate} = \frac{5 \text{ pages}}{40 \text{ seconds}} = \frac{1}{8} \text{ pages per second} \] Now, we can calculate how many pages Harry prints in 120 seconds: \[ \text{Harry's pages in 120 seconds} = \frac{1}{8} \times 120 = 15 \text{ pages} \]
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Matt's Pages: The equation for the number of pages Matt prints after \(x\) seconds is given as: \[ y = \frac{1}{6}x \] To calculate how many pages Matt prints in 120 seconds: \[ \text{Matt's pages in 120 seconds} = \frac{1}{6} \times 120 = 20 \text{ pages} \]
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Comparison: Now, we compare the number of pages printed:
- Harry: 15 pages
- Matt: 20 pages
Therefore, Matt can print \(20 - 15 = 5\) more pages than Harry.
The correct statement is: B. Matt can print 5 more pages than Harry.
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