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Math  /  Data & Statistics

Question\begin{tabular}{|l|l|l|l|l|} \hline Distance (M) & Time (s) & & & Average Speed \\ \cline { 2 - 5 } & Irial 1 & Irial2 & Irial3 & \\ \hline 100 & 11.6 & 11.2 & 11.8 & \\ \hline \end{tabular}
If the runner ran the same speed how long would it take them to run 250 m ? 28.1 s 28.7 s 29.1 s 29.4 s

Studdy Solution

STEP 1

1. The runner's speed is consistent across all trials.
2. Average speed is calculated as total distance divided by total time.
3. To find the time for 250 meters, use the average speed from the trials.

STEP 2

1. Calculate the total time for the 100-meter trials.
2. Calculate the average speed for the 100-meter trials.
3. Use the average speed to find the time for 250 meters.

STEP 3

Calculate the total time for the 100-meter trials:
11.6+11.2+11.8=34.6 seconds 11.6 + 11.2 + 11.8 = 34.6 \text{ seconds}

STEP 4

Calculate the average speed for the 100-meter trials. Average speed is total distance divided by total time. The total distance for the three trials is:
3×100=300 meters 3 \times 100 = 300 \text{ meters}
The average speed is:
300 meters34.6 seconds≈8.67 m/s \frac{300 \text{ meters}}{34.6 \text{ seconds}} \approx 8.67 \text{ m/s}

STEP 5

Use the average speed to find the time for 250 meters. Time is distance divided by speed:
250 meters8.67 m/s≈28.83 seconds \frac{250 \text{ meters}}{8.67 \text{ m/s}} \approx 28.83 \text{ seconds}
Round to the nearest tenth:
28.8 seconds 28.8 \text{ seconds}
Since 28.8 seconds is not one of the given options, we consider the closest option, which is:
28.7 seconds 28.7 \text{ seconds}
The time it would take to run 250 meters is approximately:
28.7 seconds \boxed{28.7 \text{ seconds}}

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