To calculate Yohan Blake's speed in each of the races, we'll use the formula for speed, which is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
For the 200-meter race:
- Distance = 200 meters
- Time = 19.44 seconds
\[ \text{Speed (200m)} = \frac{200 , \text{meters}}{19.44 , \text{seconds}} \approx 10.26 , \text{meters per second} \]
For the 100-meter race:
- Distance = 100 meters
- Time = 9.75 seconds
\[ \text{Speed (100m)} = \frac{100 , \text{meters}}{9.75 , \text{seconds}} \approx 10.26 , \text{meters per second} \]
Now comparing the speeds:
- The speed in the 200-meter race is approximately 10.26 meters per second.
- The speed in the 100-meter race is approximately 10.36 meters per second.
From the options given, the closest values are:
- 10.29 meters per second and 10.26 meters per second
- 10.49 meters per second and 10.36 meters per second
- 10.59 meters per second and 10.46 meters per second
- 10.69 meters per second and 10.56 meters per second
None of the options match the computed values, but to summarize:
- 200m Speed: 10.26 m/s
- 100m Speed: 10.36 m/s
Upon rounding correctly and reviewing:
- 200m Speed: 10.26 m/s
- 100m Speed: 10.36 m/s
Based on the closer match, the most accurate option should be:
- 10.26 meters per second (200m) and 10.36 meters per second (100m).
Thus, I suggest revisiting the options you've provided. The closest option from your choices is:
- 10.29 meters per second and 10.26 meters per second, but this does not match both speeds.
To conclude, correct calculations yield:
- Speed for 200m race: 10.26 m/s
- Speed for 100m race: 10.36 m/s