Question
n 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 26.7 m/s 26.7 meters per second 67 m/s 67 m over s 6.7 m/s 6.7 meters per second 0.15 s/m
Answers
GPT-4o mini
To calculate the average speed of the runners in the 400-meter relay, we first need to find the total time taken by all the runners and the total distance they ran.
1. **Total Distance**: The total distance for the relay is 400 meters since each of the 4 runners runs 100 meters.
2. **Total Time**:
- First runner: 15 s
- Second runner: 17 s
- Third runner: 15 s
- Fourth runner: 13 s
Total time = 15 s + 17 s + 15 s + 13 s = 60 s
3. **Average Speed**: The average speed is calculated using the formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
Substituting the values we have:
\[
\text{Average Speed} = \frac{400 \text{ m}}{60 \text{ s}} \approx 6.67 \text{ m/s}
\]
So the average speed of the runners is **6.7 m/s**.
1. **Total Distance**: The total distance for the relay is 400 meters since each of the 4 runners runs 100 meters.
2. **Total Time**:
- First runner: 15 s
- Second runner: 17 s
- Third runner: 15 s
- Fourth runner: 13 s
Total time = 15 s + 17 s + 15 s + 13 s = 60 s
3. **Average Speed**: The average speed is calculated using the formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
Substituting the values we have:
\[
\text{Average Speed} = \frac{400 \text{ m}}{60 \text{ s}} \approx 6.67 \text{ m/s}
\]
So the average speed of the runners is **6.7 m/s**.