Question

Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.​

Answer 1

`\sf{\bold{\blue{\underline{\underline{Given}}}}}`

• ⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀
• he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.

`\sf{\bold{\red{\underline{\underline{To\:Find}}}}}`

• Compare the speeds⠀⠀⠀⠀

`\sf{\bold{\purple{\underline{\underline{Solution}}}}}`

⠀

we know that,

`\boxed{\sf{speed=(distance)/(time)} }`

In the 100-meter race in the 2012 Olympics he takes 9.75 sec

• speed=100/9.75
• speed =10.2564...
• speed=10.26

BUTTT,

he ran the 200-meter race in 19.5 seconds.

• speed=200/19.5
• speed=10.2564..
• speed=10.26

According to the question,

we have to compare the speed

• 100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.

• 10.26=10.26

• the speeds are equal

⠀⠀⠀

`\sf{\bold{\green{\underline{\underline{Answer}}}}}`

The two speeds are equal of Yohan Blake.

Answer 2

The two speeds are equal

Explanation:

The speed is the distance divided by the time

100 meters / 9.75 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth 10.26 meters per second

200 meters / 19.5 seconds = 10.25641026 meters per second

Rounded to the nearest hundredth 10.26 meters per second

The two speeds are equal