Answered

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



1 mile = 1.61 kilometers

1 hour = 60 minutes



Round your answers to the nearest tenth.



The speed is equivalent to [___] $\frac{\text{kilometers}}{\text{hour}}$, or [___] $\frac{\text{kilometers}}{\text{minute}}$.

Verified Answer :

  • The initial speed is \(99 \text{ mph}\).
  • Convert to km/h by multiplying by \(1.61\): \(99 \times 1.61 = 159.39\), which rounds to \(\boxed{159.4}\) km/h.
  • Convert km/h to km/min by dividing by \(60\): \(159.39 \div 60 = 2.6565\), which rounds to \(\boxed{2.7}\) km/min.

Explanation

  1. Data Analysis

We are given that a race car travels at a speed of \(99\) miles per hour. We need to convert this speed into kilometers per hour and kilometers per minute, using the provided conversion factors: \(1 \text{ mile} = 1.61 \text{ kilometers}\) and \(1 \text{ hour} = 60 \text{ minutes}\). The final results must be rounded to the nearest tenth.

  1. Convert to Kilometers per Hour

To convert the speed from miles per hour to kilometers per hour, we multiply the given speed in miles per hour by the conversion factor from miles to kilometers:
\[\text{Speed (km/h)} = 99 \frac{\text{miles}}{\text{hour}} \times 1.61 \frac{\text{kilometers}}{\text{mile}} = 159.39 \text{ km/h}.\]
Rounding to the nearest tenth, we get \(159.4 \text{ km/h}\).

  1. Convert to Kilometers per Minute

To convert the speed from kilometers per hour to kilometers per minute, we divide the speed in kilometers per hour by the number of minutes in an hour:
\[\text{Speed (km/min)} = \frac{159.39 \text{ km/h}}{60 \text{ min/h}} = 2.6565 \text{ km/min}.\]
Rounding to the nearest tenth, we get \(2.7 \text{ km/min}\).

  1. Conclusion

The calculated speed of the race car is \(159.4\) \(\frac{\text{kilometers}}{\text{hour}}\) and \(2.7\) \(\frac{\text{kilometers}}{\text{minute}}\). These are the requested conversions rounded to the nearest tenth.

The speed is equivalent to \(\boxed{159.4}\) \(\frac{\text{kilometers}}{\text{hour}}\), or \(\boxed{2.7}\) \(\frac{\text{kilometers}}{\text{minute}}\).

Examples

Unit conversion is a fundamental skill used in everyday life, from cooking with different measurement systems to understanding international travel and logistics. For instance, if you are planning a road trip in a country that uses the metric system, you can use these exact conversion methods to understand speed limits in kilometers per hour when your car's speedometer displays miles per hour. Being able to perform these calculations ensures you stay within safety limits and manage your travel time efficiently.

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