To find Yohan Blake's speed in both the 200-meter and 100-meter races, we can use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
For the 200-Meter Race:
- Distance: 200 meters
- Time: 19.44 seconds
Calculating the speed:
\[ \text{Speed}_{200} = \frac{200 , \text{meters}}{19.44 , \text{seconds}} \approx 10.26 , \text{meters per second} \]
For the 100-Meter Race:
- Distance: 100 meters
- Time: 9.75 seconds
Calculating the speed:
\[ \text{Speed}_{100} = \frac{100 , \text{meters}}{9.75 , \text{seconds}} \approx 10.26 , \text{meters per second} \]
Summary of Speeds:
- 200-Meter Speed: 10.26 meters per second
- 100-Meter Speed: 10.36 meters per second
The closest rounded values from the options given 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
From the calculated values:
- 10.26 meters per second is accurate for 200 meters.
- 10.26 meters per second is accurate for 100 meters.
Therefore, the answer closest to our calculations is 10.29 meters per second and 10.26 meters per second.