Express 105 km/h in miles per hour. Round to the nearest hundredth.
The Correct Answer and Explanation is:
To convert 105 kilometers per hour (km/h) to miles per hour (mph), we use the conversion factor:
1 kilometer ≈ 0.621371 miles
Step-by-step Conversion:
105 km/h×0.621371=65.243955 mph105 \text{ km/h} \times 0.621371 = 65.243955 \text{ mph}105 km/h×0.621371=65.243955 mph
Rounded to the nearest hundredth:65.24 mph\boxed{65.24 \text{ mph}}65.24 mph
Explanation
When working with speed measurements, it’s often necessary to convert between different units depending on the system of measurement being used. Most of the world uses the metric system, which measures distance in kilometers. However, in the United States and a few other countries, distance is commonly measured in miles. This means that if you’re dealing with speeds like kilometers per hour and want to understand them in a more familiar context, such as miles per hour, you’ll need to convert the values.
To convert kilometers to miles, we use a known conversion factor. One kilometer is approximately equal to 0.621371 miles. This value is derived from the definition of a mile and a kilometer. There are 1.609344 kilometers in one mile, so the reciprocal gives the conversion from kilometers to miles.
To convert 105 km/h to mph, multiply the value in kilometers per hour by the conversion factor. The calculation is straightforward:
105 multiplied by 0.621371 equals approximately 65.243955. Since we are asked to round to the nearest hundredth, we look at the third decimal place to determine rounding. In this case, the third digit after the decimal is 3, which is less than 5, so we leave the second decimal place unchanged. Thus, the final answer is 65.24 mph.
This means that a speed of 105 kilometers per hour is equivalent to about 65.24 miles per hour. Understanding how to convert between units like these can be useful when reading road signs, comparing travel speeds, or working with vehicles and transportation across different regions of the world.
