The speed limit on some interstate highways is roughly 107 km/h. (b) How many miles per hour is this?
The correct answer and explanation is:
To convert 107 km/h to miles per hour (mph), we use the conversion factor between kilometers and miles. The conversion factor is:
1 kilometer = 0.621371 miles.
So, to convert 107 km/h to miles per hour, the calculation is as follows: 107 km/h×0.621371 miles/km=66.5 miles/h.107 \, \text{km/h} \times 0.621371 \, \text{miles/km} = 66.5 \, \text{miles/h}.
Thus, 107 km/h is approximately 66.5 miles per hour.
Explanation:
- Conversion Factor: The key to this conversion is understanding that 1 kilometer equals approximately 0.621371 miles. This conversion factor allows us to change from kilometers to miles.
- Multiplying: To convert 107 kilometers per hour to miles per hour, we multiply the number of kilometers by the conversion factor (0.621371). The result gives the equivalent speed in miles per hour.
- Accuracy: The result of 66.5 mph is rounded to one decimal place. In practical terms, the speed of 107 km/h is slightly more than 66 mph, but this conversion gives us an accurate approximation for most everyday situations.
By using this method, one can easily convert between kilometers per hour and miles per hour when needed for various practical purposes, like determining travel times or understanding road signs in countries that use different measurement systems.