In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 27.0 mi/gal , how many liters of gasoline would you need to buy to complete a 142-km trip in Europe? Use the following conversions: 1km=0.6214mi and 1gal=3.78L.
To find out how many liters of gasoline you would need to buy for a 142-km trip, first, we need to convert the given gas mileage from miles per gallon (mi/gal) to kilometers per liter (km/L).
Given:
Gas mileage = 27.0 mi/gal
Conversion factors:
1 km = 0.6214 mi
1 gal = 3.78 L
Step 1: Convert the gas mileage from mi/gal to km/L.
To convert mi/gal to km/L, we need to do the following conversions:
27.0 mi/gal * 0.6214 km/mi = 16.7778 km/gal
16.7778 km/gal ÷ 3.78 L/gal = 4.44 km/L
Step 2: Calculate the number of liters needed for a 142-km trip.
To calculate the liters of gasoline needed for a 142-km trip, divide the distance by the gas mileage of the car.
142 km ÷ 4.44 km/L ≈ 31.98 L
Therefore, you would need to buy approximately 31.98 liters of gasoline to complete a 142-km trip in Europe.
To find out how many liters of gasoline you would need to complete a 142-km trip in Europe, we need to convert your car's gas mileage from miles per gallon (mi/gal) to kilometers per liter (km/L).
Given:
Gas mileage = 27.0 mi/gal
Distance of the trip = 142 km
First, let's convert 27.0 mi/gal to km/L:
1 mile is equal to 0.6214 kilometers.
1 gallon is equal to 3.78 liters.
To convert miles to kilometers, we use the conversion factor 0.6214 km/mi:
27.0 mi/gal × 0.6214 km/mi = 16.7798 km/gal
To convert gallons to liters, we use the conversion factor 3.78 L/gal:
16.7798 km/gal × 3.78 L/gal = 63.3986 km/L
Now, we know that your car's gas mileage is 63.3986 km/L. To calculate the number of liters of gasoline needed for a 142-km trip, we can use the formula:
Liters = Distance / Gas mileage
Plugging in the values:
Liters = 142 km / 63.3986 km/L
Liters = 2.2397 L (rounded to four decimal places)
Therefore, you would need to buy approximately 2.2397 liters of gasoline to complete the 142-km trip in Europe.