First, let's convert the speed from miles per hour to kilometers per hour.
Given:
- Speed in miles per hour: [tex]\( 99 \, \frac{\text{miles}}{\text{hour}} \)[/tex]
- Conversion factor: [tex]\( 1 \, \text{mile} = 1.61 \, \text{kilometers} \)[/tex]
To find the speed in kilometers per hour:
[tex]\[ 99 \, \frac{\text{miles}}{\text{hour}} \times 1.61 \, \frac{\text{kilometers}}{\text{mile}} = 159.39 \, \frac{\text{kilometers}}{\text{hour}} \][/tex]
Next, let's convert the speed from kilometers per hour to kilometers per minute.
Given:
- Speed in kilometers per hour: [tex]\( 159.39 \, \frac{\text{kilometers}}{\text{hour}} \)[/tex]
- Conversion factor: [tex]\( 1 \, \text{hour} = 60 \, \text{minutes} \)[/tex]
To find the speed in kilometers per minute:
[tex]\[ 159.39 \, \frac{\text{kilometers}}{\text{hour}} \div 60 \, \frac{\text{minutes}}{\text{hour}} = 2.6565 \, \frac{\text{kilometers}}{\text{minute}} \][/tex]
Therefore, the speed of the race car is equivalent to [tex]\( 159.39 \, \frac{\text{kilometers}}{\text{hour}} \)[/tex] or [tex]\( 2.6565 \, \frac{\text{kilometers}}{\text{minute}} \)[/tex].
So the correct answers are:
[tex]\[ 159.39 \, \frac{\text{kilometers}}{\text{hour}} \][/tex]
[tex]\[ 2.6565 \, \frac{\text{kilometers}}{\text{minute}} \][/tex]
