A German automobile’s gas mileage is 29km/L. Convert this quantity to miles per gallon.
The correct answer and explanation is:
To convert the gas mileage from kilometers per liter (km/L) to miles per gallon (mpg), the following steps should be followed:
- Convert kilometers to miles:
- 1 kilometer (km) is approximately equal to 0.621371 miles.
- Therefore, to convert 29 km to miles: 29 km×0.621371=18.0 miles29 \, \text{km} \times 0.621371 = 18.0 \, \text{miles}
- Convert liters to gallons:
- 1 liter (L) is equivalent to approximately 0.264172 gallons (US gallon).
- Therefore, 1 liter is equal to 0.264172 gallons.
- Convert km/L to miles/gallon:
- Now that you have 29 km equal to 18 miles and 1 liter equal to 0.264172 gallons, the final conversion of 29 km/L to miles per gallon will be: 18.0 miles0.264172 gallons≈68.2 mpg\frac{18.0 \, \text{miles}}{0.264172 \, \text{gallons}} \approx 68.2 \, \text{mpg}
So, 29 km/L is approximately equal to 68.2 miles per gallon.
Explanation:
The key to this conversion is understanding the relationships between kilometers and miles, as well as liters and gallons. The conversion factors between these units are based on international standards. To ensure accuracy, it’s important to apply the correct conversion factors when converting from the metric system (km and L) to the imperial system (miles and gallons). In this case, after converting kilometers to miles and liters to gallons, you can simply divide the number of miles by the number of gallons to get the gas mileage in miles per gallon.