Answer :
Final answer:
To find the average speed of the runner in kilometers per hour, we convert 26.2 miles to 42.164748 kilometers and 2 hours 13 minutes 19 seconds to 2.2219444 hours. The average speed is then calculated to be approximately 18.982 km/h.
Explanation:
To calculate the average speed of the runner in kilometers per hour, we first need to convert the marathon distance to kilometers and the time taken by the runner into hours. The marathon distance is already given in miles, which is 26.2 miles. To convert miles to kilometers, we use the conversion factor that 1 mile is approximately 1.60934 kilometers.
So the distance in kilometers is:
26.2 miles × 1.60934 km/mile = 42.164748 km
The time taken by the runner is 2 hours, 13 minutes, and 19 seconds. We need to convert this to hours. There are 60 minutes in an hour and 3600 seconds in an hour.
So the time in hours is:
2 hours + (13 minutes / 60) + (19 seconds / 3600) = 2.2219444 hours
The average speed in kilometers per hour is then:
42.164748 km / 2.2219444 hours = 18.982 km/h