Answer :
To convert miles per gallon to kilometers per liter, we need to use the following conversion factors:
1. 1 mile = 1.61 kilometers
2. 1 gallon = 3.78541 liters
The given mileage is 35 miles per gallon. Let's convert this to kilometers per liter in a step-by-step manner:
1. Convert Miles to Kilometers:
- Since 1 mile is equal to 1.61 kilometers, we multiply the number of miles by this conversion factor:
- [tex]\( 35 \, \text{miles} \times 1.61 \, \text{km/mile} = 56.35 \, \text{kilometers} \)[/tex].
2. Convert Gallons to Liters:
- Since 1 gallon is equal to 3.78541 liters, we use this information to convert:
- 1 gallon is already given, so this step essentially keeps our denominator in liters.
3. Calculate Kilometers per Liter:
- We now have 56.35 kilometers per 3.78541 liters. To find kilometers per liter, we simply divide the kilometers by the liters:
- [tex]\( \frac{56.35 \, \text{km}}{3.78541 \, \text{liters}} = 14.886 \, \text{km/L} \)[/tex].
Thus, the conversion of 35 miles per gallon in city traffic to kilometers per liter results in approximately 14.89 km/L. This value is not exactly one of the options provided, making it closest to the choice 15 km/L if approximated.
1. 1 mile = 1.61 kilometers
2. 1 gallon = 3.78541 liters
The given mileage is 35 miles per gallon. Let's convert this to kilometers per liter in a step-by-step manner:
1. Convert Miles to Kilometers:
- Since 1 mile is equal to 1.61 kilometers, we multiply the number of miles by this conversion factor:
- [tex]\( 35 \, \text{miles} \times 1.61 \, \text{km/mile} = 56.35 \, \text{kilometers} \)[/tex].
2. Convert Gallons to Liters:
- Since 1 gallon is equal to 3.78541 liters, we use this information to convert:
- 1 gallon is already given, so this step essentially keeps our denominator in liters.
3. Calculate Kilometers per Liter:
- We now have 56.35 kilometers per 3.78541 liters. To find kilometers per liter, we simply divide the kilometers by the liters:
- [tex]\( \frac{56.35 \, \text{km}}{3.78541 \, \text{liters}} = 14.886 \, \text{km/L} \)[/tex].
Thus, the conversion of 35 miles per gallon in city traffic to kilometers per liter results in approximately 14.89 km/L. This value is not exactly one of the options provided, making it closest to the choice 15 km/L if approximated.
