Question
In a track meet, the 400-meter relay involves four runners, each running 100 m . In one track meet, the first runner finished in 15 s , the second in 17 s , the third in 15 s , and the final runner in 13 s . What was the average speed of the runners?(1 point) Responses 0.15 s/m 0 point 1 5 s over m 26.7 m/s 26.7 meters per second 6.7 m/s 6.7 meters per second 67 m/s
Answers
GPT-4o mini
To find the average speed of the runners in the 400-meter relay, we first need to calculate the total time taken by all four runners and then the average speed formula.
1. **Calculate the total time:**
- First runner: 15 seconds
- Second runner: 17 seconds
- Third runner: 15 seconds
- Fourth runner: 13 seconds
Total time = 15 + 17 + 15 + 13 = 60 seconds
2. **Calculate the total distance:**
- Each runner runs 100 meters, and there are four runners.
Total distance = 4 runners × 100 meters = 400 meters
3. **Calculate the average speed:**
Average speed = Total distance / Total time
Average speed = 400 meters / 60 seconds = 6.67 m/s
So the average speed of the runners is **6.7 meters per second**.
1. **Calculate the total time:**
- First runner: 15 seconds
- Second runner: 17 seconds
- Third runner: 15 seconds
- Fourth runner: 13 seconds
Total time = 15 + 17 + 15 + 13 = 60 seconds
2. **Calculate the total distance:**
- Each runner runs 100 meters, and there are four runners.
Total distance = 4 runners × 100 meters = 400 meters
3. **Calculate the average speed:**
Average speed = Total distance / Total time
Average speed = 400 meters / 60 seconds = 6.67 m/s
So the average speed of the runners is **6.7 meters per second**.