Question
(3) It takes Jill 2 hours to run 14.5 miles. At this rate, how far could she run in 3 hours?
Ask by Savage Osborne. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Jill can run 21.75 miles in 3 hours.
Solution
To determine how far Jill could run in 3 hours at her current rate, follow these steps:
1. **Calculate Jill's Running Rate:**
Jill runs 14.5 miles in 2 hours. To find her rate per hour:
\[
\text{Rate} = \frac{14.5 \text{ miles}}{2 \text{ hours}} = 7.25 \text{ miles per hour}
\]
2. **Calculate the Distance in 3 Hours:**
Using her rate, multiply by the number of hours she runs:
\[
\text{Distance} = \text{Rate} \times \text{Time} = 7.25 \text{ miles/hour} \times 3 \text{ hours} = 21.75 \text{ miles}
\]
**Answer:** Jill could run **21.75 miles** in 3 hours at her current running rate.
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Simplify this solution Bonus Knowledge
To determine how far Jill could run in 3 hours, first find her speed. If she runs 14.5 miles in 2 hours, her speed is 14.5 miles / 2 hours = 7.25 miles per hour. Now, to find out how far she could run in 3 hours, multiply her speed by 3 hours: 7.25 miles/hour * 3 hours = 21.75 miles. So, Jill could cover 21.75 miles in 3 hours. When tackling distance, rate, and time problems, remember to convert all units consistently (e.g., hours to minutes) and ensure your calculations reflect the correct quantities. A common mistake is miscalculating the conversion or forgetting to multiply by the total time. Double-check your computations to avoid silly errors!
