To find the average speed, we divide the total distance traveled by the total time taken. In this case, the distance is 10 km, and the time is 1 hour and 20 minutes.
First, we need to convert the time to a common unit. Since the distance is in kilometers and the speed is measured in meters per second (m/s), we'll convert the time to seconds.
1 hour is equal to 60 minutes, and 1 minute is equal to 60 seconds. So, 1 hour and 20 minutes is equal to:
1 hour + 20 minutes = 1 hour + (20 minutes * 1 hour/60 minutes) = 1 hour + (20/60) hours = 1.3333 hours
Now that we have the time in hours, we can calculate the average speed:
Average Speed = Total Distance / Total Time
Average Speed = 10 km / 1.3333 hours
Since 1 km is equal to 1000 meters, the distance can be converted to meters:
10 km = 10,000 meters
Average Speed = 10,000 meters / 1.3333 hours
Next, we need to convert the time to seconds:
1.3333 hours = 1.3333 hours * 60 minutes/hour * 60 seconds/minute = 4,800 seconds
Finally, we can calculate the average speed:
Average Speed = 10,000 meters / 4,800 seconds
Average Speed ≈ 2.0833 m/s
Therefore, the average speed for a distance of 10 km traveled in 1 hour and 20 minutes is approximately 2.0833 m/s.