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 is 15s and the final runner in 13s what was the average speed of the runners
Answers
GPT-4o mini
To calculate the average speed of the runners in the 400 meter relay, we need the total distance covered and the total time taken.
### Total Distance:
The total distance for the relay is 400 meters, as each of the four runners runs 100 meters.
### Total Time:
Now we sum the times of 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
### Average Speed:
Average speed is calculated using the formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
Substituting in the values:
\[
\text{Average Speed} = \frac{400 \, \text{meters}}{60 \, \text{seconds}} \approx 6.67 \, \text{meters per second}
\]
Thus, the average speed of the runners in the relay is approximately **6.67 meters per second**.
### Total Distance:
The total distance for the relay is 400 meters, as each of the four runners runs 100 meters.
### Total Time:
Now we sum the times of 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
### Average Speed:
Average speed is calculated using the formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
Substituting in the values:
\[
\text{Average Speed} = \frac{400 \, \text{meters}}{60 \, \text{seconds}} \approx 6.67 \, \text{meters per second}
\]
Thus, the average speed of the runners in the relay is approximately **6.67 meters per second**.