suppose a runner completes a 10k (10km) road race in 42 minutes and 23 seconds. What is the average speed miles per hour?
Change 10 km to miles.
Change 42 minutes and 23 seconds to seconds and divide by 60 to change to minutes and divide by another 60 to change to hours.
Then distance in miles/time in hours = ?
To find the average speed in miles per hour, we first need to convert the distance from kilometers to miles. Then we can divide the converted distance by the time taken in hours.
Step 1: Convert the distance from kilometers to miles.
1 kilometer is approximately equal to 0.621371 miles.
Distance in miles = 10 km * 0.621371 miles/km ≈ 6.21371 miles
Step 2: Convert the time from minutes and seconds to hours.
We have 42 minutes and 23 seconds, which we need to convert to hours.
Time in hours = (42 minutes + 23 seconds / 60) / 60
Time in hours = (42/60 + 23/3600) hours ≈ 0.7072 hours
Step 3: Calculate the average speed.
Average Speed = Distance / Time
Average Speed = 6.21371 miles / 0.7072 hours ≈ 8.80 miles per hour
Therefore, the average speed of the runner in miles per hour is approximately 8.80 miles per hour.