Each lap around a stadium track is 1/4
mile. How many laps would a runner have to complete to get a 26 -mile workout?
The Correct Answer and Explanation is:
To find out how many laps a runner would need to complete to cover a 26-mile workout, you can use the following calculation:
Given that each lap around the track is 14\frac{1}{4}41 mile, you need to divide the total miles to be run (26 miles) by the distance of each lap (14\frac{1}{4}41 mile).
So, the number of laps needed can be calculated by:Number of laps=Total distanceDistance per lap=2614=26×4=104 laps\text{Number of laps} = \frac{\text{Total distance}}{\text{Distance per lap}} = \frac{26}{\frac{1}{4}} = 26 \times 4 = 104 \text{ laps}Number of laps=Distance per lapTotal distance=4126=26×4=104 laps
Thus, the runner would have to complete 104 laps to cover a distance of 26 miles.
Explanation:
- The formula used here is a simple division, but since you’re dividing by a fraction (14\frac{1}{4}41), it’s easier to multiply by the reciprocal of the fraction, which is 4.
- 26×426 \times 426×4 equals 104, so the runner must complete 104 laps around the stadium track to meet the 26-mile goal.
- This type of calculation is common when converting between units or measuring repeated actions over a fixed distance, such as laps around a track.
