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

67 m/s
  67 m over s

26.7 m/s
26.7 meters per second

0.15 s/m
0 point 1 5 s over m

6.7 m/s
6.7 meters per second

1 answer

To find the average speed of the runners in the relay, we first need to calculate the total distance and the total time taken by all four runners.

The total distance for the relay is 400 meters (100 meters for each of the 4 runners).

Now, let's calculate the total time taken by the runners:

  • First runner: 15 seconds
  • Second runner: 17 seconds
  • Third runner: 15 seconds
  • Fourth runner: 13 seconds

Total time = 15 + 17 + 15 + 13 = 60 seconds

Now we can find the average speed using the formula: \[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \] \[ \text{Average Speed} = \frac{400 \text{ m}}{60 \text{ s}} = \frac{400}{60} \approx 6.67 \text{ m/s} \]

Thus, the average speed of the runners is approximately 6.7 m/s.

Therefore, the correct response is: 6.7 m/s.