To find the constant of proportionality for both Jimmy and Carlo, we can calculate their reading rates.
For Jimmy:
- He reads 15 pages in 15 minutes.
- To find the reading rate (pages per minute), we divide the number of pages by the number of minutes:
\[ \text{Jimmy's rate} = \frac{15 \text{ pages}}{15 \text{ minutes}} = 1 \text{ page per minute} \]
For Carlo:
- He reads 12 pages in 6 minutes.
- To find Carlo's reading rate, we also divide the number of pages by the number of minutes:
\[ \text{Carlo's rate} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]
Comparing the Rates:
- Jimmy's reading rate is 1 page per minute.
- Carlo's reading rate is 2 pages per minute.
Conclusion: Carlo reads at a faster pace than Jimmy, with a rate of 2 pages per minute compared to Jimmy's 1 page per minute, demonstrating that Carlo can read twice as fast as Jimmy.
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