Suppose a runner completes a 10K (10.0 km) road race in 44 minutes and 43 second. What is the runners average speed in miles per hour?

I would convert 44 min to seconds and add 43 sec to that, then divide by (60 x 60) to convert to hours.

speed = 10km/0.745 hr = 13.42 km/hr.
1 km = 0.621 miles.

To find the runner's average speed in miles per hour, we need to convert the distance of 10.0 km to miles and the time of 44 minutes and 43 seconds to hours.

1 kilometer (km) is approximately 0.621 miles (mi).

So, to convert 10.0 km to miles, we multiply by 0.621:
10.0 km × 0.621 mi/km = 6.213 mi

To convert the time of 44 minutes and 43 seconds to hours, we divide by 60 (minutes in an hour) and 3600 (seconds in an hour):

44 minutes + 43 seconds ÷ 60 minutes/hour + 43 seconds/3600 seconds/hour ≈ 0.746 hours

Now, we have the distance in miles (6.213 mi) and the time in hours (0.746 hours).

To find the average speed, we divide the distance by the time:

Average speed = Distance ÷ Time
Average speed = 6.213 mi ÷ 0.746 hours ≈ 8.33 mph

Therefore, the runner's average speed is approximately 8.33 miles per hour.

To find the runner's average speed in miles per hour, we need to convert the distance from kilometers to miles and the time from minutes to hours.

First, let's convert the distance from kilometers to miles. We know that 1 kilometer is approximately 0.621371 miles.

Distance in miles = Distance in kilometers * Conversion factor
Distance in miles = 10.0 km * 0.621371
Distance in miles = 6.21371 miles

Next, let's convert the time from minutes to hours. We know that there are 60 minutes in an hour.

Time in hours = Time in minutes / 60
Time in hours = 44 minutes + 43 seconds / 60
Time in hours = 44.7167 minutes / 60
Time in hours = 0.745 hours

Now that we have the distance in miles (6.21371 miles) and the time in hours (0.745 hours), we can find the average speed in miles per hour.

Average speed = Distance / Time
Average speed = 6.21371 miles / 0.745 hours
Average speed ≈ 8.343 miles per hour

Therefore, the runner's average speed is approximately 8.343 miles per hour.

6.211 mi/hr