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Question 5 Jamir is training for a race and is running laps around a field. If the distance around the field is 225 yards, how many complete laps would he need to do to run at least 5 miles? Submit Question
Ask by Cox Lang. in the United States
Feb 03,2025
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Answer
Jamir needs to run at least 39 complete laps around the field to cover at least 5 miles.
Solution
To determine how many complete laps Jamir needs to run to cover at least 5 miles, we first need to convert the distance of 5 miles to yards since the distance around the field is given in yards.
1 mile is equal to 1760 yards. Therefore, 5 miles is equal to \(5 \times 1760 = 8800\) yards.
Now, we can calculate the number of complete laps Jamir needs to run to cover at least 8800 yards.
The distance around the field is 225 yards. To find the number of complete laps, we divide the total distance (8800 yards) by the distance around the field (225 yards).
\[ \text{Number of complete laps} = \frac{8800}{225} \]
Let's calculate this.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{8800}{225}\)
- step1: Reduce the fraction:
\(\frac{352}{9}\)
Jamir would need to run at least \(39\frac{1}{9}\) complete laps around the field to cover at least 5 miles.
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Simplify this solution Mind Expander
To run at least 5 miles, Jamir needs to cover a distance of 26,400 yards (since 1 mile is 1,760 yards). Dividing this distance by the field's perimeter (225 yards) gives approximately 117.33 laps. Thus, he would need to complete 118 laps to ensure he runs at least 5 miles. Running laps around a field not only enhances endurance but also provides a great way to monitor pace and progress. Setting small targets along the way, like completing 10 laps at a time, can make the long journey to 118 laps feel much more manageable and enjoyable!
