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 6.7 m/s 6.7 meters per second 26.7 m/s 26.7 meters per second 67 m/s 67 m over s 0.15 s/m
Answers
GPT-4o mini
To calculate the average speed of the runners in the relay, we first need to determine the total distance and the total time taken.
1. **Total Distance**: The total distance for the 400-meter relay is 400 meters (100 meters per runner × 4 runners).
2. **Total Time**: We need to sum the time taken by each runner:
- First runner: 15 seconds
- Second runner: 17 seconds
- Third runner: 15 seconds
- Fourth runner: 13 seconds
Total time = 15 s + 17 s + 15 s + 13 s = 60 seconds
3. **Average Speed**: Average speed is calculated as total distance divided by total time.
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{400 \text{ m}}{60 \text{ s}} \approx 6.67 \text{ m/s}
\]
Thus, the average speed of the runners is approximately **6.7 m/s**.
The correct response is: **6.7 m/s** (or **6.7 meters per second**).
1. **Total Distance**: The total distance for the 400-meter relay is 400 meters (100 meters per runner × 4 runners).
2. **Total Time**: We need to sum the time taken by each runner:
- First runner: 15 seconds
- Second runner: 17 seconds
- Third runner: 15 seconds
- Fourth runner: 13 seconds
Total time = 15 s + 17 s + 15 s + 13 s = 60 seconds
3. **Average Speed**: Average speed is calculated as total distance divided by total time.
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{400 \text{ m}}{60 \text{ s}} \approx 6.67 \text{ m/s}
\]
Thus, the average speed of the runners is approximately **6.7 m/s**.
The correct response is: **6.7 m/s** (or **6.7 meters per second**).