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A race car is driven by a professional driver at [tex]$99 \frac{\text{miles}}{\text{hour}}$[/tex]. What is this speed in [tex]$\frac{\text{kilometers}}{\text{hour}}$[/tex] and [tex][tex]$\frac{\text{kilometers}}{\text{minute}}$[/tex][/tex]?

1 mile = 1.61 kilometers
1 hour = 60 minutes

Express the answers to the correct number of significant figures.

The speed is equivalent to [tex]\square \frac{\text{kilometers}}{\text{hour}}[/tex], or [tex]\square \frac{\text{kilometers}}{\text{minute}}[/tex].


Sagot :

To convert the speed from miles per hour to kilometers per hour, we need to use the conversion factor given: [tex]\(1 \text{ mile} = 1.61 \text{ kilometers}\)[/tex].

First, we convert the speed from miles per hour to 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, to convert this speed from kilometers per hour to kilometers per minute, we use the conversion factor [tex]\(1 \text{ hour} = 60 \text{ minutes}\)[/tex]:

[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 is equivalent to [tex]\( 159.39 \frac{\text { kilometers }}{\text { hour }} \)[/tex], or [tex]\( 2.6565 \frac{\text { kilometers }}{\text { minute }} \)[/tex].

Thus:

The speed is equivalent to [tex]\( 159.39 \)[/tex] [tex]\( \frac{\text { kilometers }}{\text { hour }} \)[/tex], or [tex]\( 2.6565 \)[/tex] [tex]\( \frac{\text { kilometers }}{\text { minute }} \)[/tex].