Answer:
speed = 30 km/h
Explanation:
We are told that a 200 metres race is run by an athlete in 24 seconds. The question then asks us to calculate the athlete's speed in km/h.
To do this, let's first convert the given data into the required units:
• Converting from metres to kilometres:
To convert from 200 metres to kilometres, we have to divide it by 1000:
200 m = 200 m ÷ 1000 m/km
= 0.2 km
• Converting from seconds to hours:
To convert 24 seconds to hours, we have to divide it by 3600:
24 s = 24 s ÷ 3600 s/h
=
h
Now that we have the data in the appropriate units, we can use the following formula to calculate speed:
![\boxed{\mathrm{speed = (distance)/(time)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/51duog6z0xfm2ngzpltm6joqpvaxfdkj08.png)
⇒ speed =
![\mathrm{(0.2 \ km)/(24/3600 \ h)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/7r2j0egfcsfd49t17fah915ycinm7wg5oh.png)
⇒ speed = 30 km/h
Therefore, the speed of the athlete is 30 km/h.