To find out how much faster the runner's speed was compared to the swimmer's speed, we first need to calculate the runner's speed.
The runner covered 200 meters in 21.3 seconds. To calculate the speed in meters per second, we use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
For the runner:
\[ \text{Runner's speed} = \frac{200 \text{ meters}}{21.3 \text{ seconds}} \approx 9.395 \text{ meters per second} \]
Now, we know the swimmer's speed is 1.8 meters per second. We can find the difference between the runner's speed and the swimmer's speed:
\[ \text{Difference} = \text{Runner's speed} - \text{Swimmer's speed} \] \[ \text{Difference} = 9.395 \text{ meters per second} - 1.8 \text{ meters per second} \approx 7.595 \text{ meters per second} \]
Rounding \(7.595\) to the nearest tenth gives us \(7.6\) meters per second.
Therefore, the runner's speed was 7.6 meters per second faster than the swimmer's speed.
1 answer