Question

What is the average speed, in meters per second, m/s, of a runner who records three different distances over three separate time periods of 30 seconds: 180 meters, 188 meters, and 190 meters?(1 point)
Responses

18.6 m/s
18.6 m/s

4.1 seconds
4.1 seconds

6.2 m/s
6.2 m/s

468 m/s
468 m/s
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Answer 1

To calculate the average speed of the runner, we can use the formula for average speed:

\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]

First, we need to find the total distance run over the three periods:

\[
\text{Total Distance} = 180 \, \text{meters} + 188 \, \text{meters} + 190 \, \text{meters} = 558 \, \text{meters}
\]

Next, we calculate the total time. The runner recorded their distances over three separate time periods of 30 seconds, which means:

\[
\text{Total Time} = 30 \, \text{seconds} + 30 \, \text{seconds} + 30 \, \text{seconds} = 90 \, \text{seconds}
\]

Now we can calculate the average speed:

\[
\text{Average Speed} = \frac{558 \, \text{meters}}{90 \, \text{seconds}} \approx 6.2 \, \text{m/s}
\]

Thus, the average speed of the runner is approximately **6.2 m/s**.