In a track meet, the 400-meter relay involves four runners, each running 100 m

Question

. 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

Answer 1

To calculate the average speed of the runners in the 400-meter relay, we first need to determine the total time taken for the relay.

The times for each runner are:

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

Now, we sum the times:

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

The total distance for the relay is 400 meters, since each of the four runners runs 100 meters.

Now, we can calculate the average speed using the formula:

\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \]

Substituting in the values:

\[ \text{Average speed} = \frac{400 \text{ m}}{60 \text{ s}} \approx 6.67 \text{ m/s} \]

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

So the correct answer is:

6.7 m/s (6.7 meters per second)