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

1 answer

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.