A runner's average stride length is 41 inches. She takes 28 strides in 10.0 seconds. How many minutes does it take her to run 5.0 km?
28 strides x (41 in/stride) x (1 m/39.37 in) x (1 km/1000m) = approx 0.03 km in 10 seconds.
0.03 km/10 sec x ?sec = 5 km
Solve for seconds
?sec x (1 min/60 sec) = ?min
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To find out how many minutes it takes for the runner to run 5.0 km, we first need to calculate her total distance covered in inches.
Given information:
- Average stride length: 41 inches
- Number of strides taken: 28
- Time taken: 10.0 seconds
First, we can calculate the total distance covered in inches by multiplying the stride length by the number of strides:
Total distance covered in inches = Average stride length × Number of strides
Total distance covered in inches = 41 inches × 28
Total distance covered in inches = 1148 inches
Now, let's convert the total distance covered from inches to kilometers:
1 inch = 0.0254 meters
1 kilometer = 1000 meters
1 meter = 100 centimeters
Total distance covered in meters = Total distance covered in inches × 0.0254 meters/inch
Total distance covered in meters = 1148 inches × 0.0254 meters/inch
Total distance covered in meters = 29.1848 meters
Total distance covered in kilometers = Total distance covered in meters ÷ 1000 meters/kilometer
Total distance covered in kilometers = 29.1848 meters ÷ 1000 meters/kilometer
Total distance covered in kilometers = 0.0291848 kilometers
Now, we can calculate the time it takes for the runner to cover 5.0 km.
Time taken for 5.0 km = (Total distance covered in kilometers / 5.0 km) × Time taken in seconds
Time taken for 5.0 km = (0.0291848 km / 5.0 km) × 10.0 seconds
Time taken for 5.0 km = 0.005837 seconds
To convert the time from seconds to minutes, we divide the result by 60:
Time taken for 5.0 km in minutes = 0.005837 minutes / 60
Time taken for 5.0 km in minutes ≈ 0.000097 minutes
Therefore, it takes the runner approximately 0.000097 minutes (or about 0.006 seconds) to run 5.0 km.