It takes a runner 3 h, 32 min, 26 s to run a marathon. If the distance of a marathon is 42.2 km, what is the average speed of the runner?
To find the average speed of the runner, we need to divide the total distance by the total time.
First, let's convert the time to seconds.
3 hours = 3 x 60 x 60 = 10800 seconds
32 minutes = 32 x 60 = 1920 seconds
Total time = 10800 + 1920 + 26 = 12746 seconds
Now, we can calculate the average speed by dividing the distance by the time:
Average speed = distance / time
Average speed = 42.2 km / 12746 s
To convert the speed to km/h, we will divide it by 3600 (since 1 hour has 3600 seconds):
Average speed (km/h) = (42.2 km / 12746 s) x (3600 s / 1 h)
Average speed (km/h) ≈ 12.60 km/h
Therefore, the average speed of the runner is approximately 12.60 km/h.
To calculate the average speed, we need to divide the total distance by the total time taken.
Step 1: Convert the time in hours, minutes, and seconds to just hours.
3 hours + 32 minutes + 26 seconds = 3 + (32/60) + (26/3600)
Step 2: Convert the time to hours only.
3 + (32/60) + (26/3600) = 3.5406 hours (rounded to four decimal places)
Step 3: Divide the distance by the time to calculate the average speed.
Average speed = Distance / Time
Average speed = 42.2 km / 3.5406 hours
Average speed = 11.91 km/h (rounded to two decimal places)
Therefore, the average speed of the runner is approximately 11.91 km/h.