It takes a runner 4 h, 58 min, 36 s to run a marathon. If the distance of a marathon is 42.2 km, what is the average speed of the runner?
avg speed=(distance/time)
change the time to seconds, km to meters
To find the average speed of the runner, we need to divide the distance covered by the time taken.
1. Convert the time into seconds:
4 hours = 4 * 60 * 60 = 14,400 seconds
58 minutes = 58 * 60 = 3,480 seconds
36 seconds = 36 seconds
Total time in seconds = 14,400 + 3,480 + 36 = 17,916 seconds
2. Divide the distance covered by the time taken:
Average speed = Distance / Time
Average speed = 42.2 km / 17,916 seconds
3. Convert the distance from km to meters:
42.2 km = 42.2 * 1000 = 42,200 meters
4. Calculate the average speed:
Average speed = 42,200 meters / 17,916 seconds
The average speed of the runner is approximately 2.356 meters per second.
To find the average speed of the runner, we need to calculate the total time taken to cover the distance and divide it by the distance covered.
First, we convert the time taken to seconds:
4 hours = 4 * 60 * 60 seconds = 14,400 seconds
58 minutes = 58 * 60 seconds = 3,480 seconds
36 seconds = 36 seconds
Adding all these together, we get:
14,400 + 3,480 + 36 = 17,916 seconds
Now, we divide the distance covered (42.2 km) by the total time taken (17,916 seconds) to find the average speed:
Average Speed = Distance / Time
Average Speed = 42.2 km / 17,916 seconds
To convert kilometers to meters, we multiply by 1,000:
Average Speed = (42.2 km * 1,000) / 17,916 seconds
Average Speed = 42,200 meters / 17,916 seconds
Now, we can calculate the average speed:
Average Speed = 2.35 meters/second
Therefore, the average speed of the runner is 2.35 meters per second.