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

0.15 s/m
0 point 1 5 s over m

67 m/s
67 m over s

6.7 m/s
6.7 meters per second

26.7 m/s
26.7 meters per second

Answer 1

To find the average speed of the runners in the 400-meter relay, we need to calculate the total distance covered and the total time taken.

The total distance of the relay is:
\[
400 \text{ meters}
\]

Next, we calculate the total time taken by the runners. The times for each runner are:
- First runner: 15 s
- Second runner: 17 s
- Third runner: 15 s
- Fourth runner: 13 s

Now, let's add their times:
\[
\text{Total time} = 15 \text{ s} + 17 \text{ s} + 15 \text{ s} + 13 \text{ s} = 60 \text{ s}
\]

Now we can calculate the average speed:
\[
\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{400 \text{ m}}{60 \text{ s}} \approx 6.67 \text{ m/s}
\]

Therefore, the average speed of the runners is approximately \(6.7 \text{ m/s}\).

So the correct response is:
**6.7 m/s** (6.7 meters per second).