Question

In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 25.0 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.

Can someone please show me how you got the answer?

Answer 1

To complete a 142-km trip in Europe with a car that has a gas mileage of 25.0 mi/gal, you would need to buy approximately 151.827 liters of gasoline.

Step-by-step explanation:

To convert the car's gas mileage from miles per gallon to kilometers per liter, we use the conversions given in the question. First, we convert miles to kilometers by multiplying the given value by 1.6093 (since 1 mile is approximately 1.6093 kilometers). Then we convert gallons to liters by multiplying the given value by 3.78 (since 1 gallon is equal to 3.78 liters). Now we can calculate how many liters of gasoline would be needed for the 142-km trip:

(25.0 mi/gal * 1.6093 km/mi) / (1 gal/3.78 L) * 142 km = 151.827 L

Therefore, you would need to buy approximately 151.827 liters of gasoline to complete the 142-km trip in Europe.

Answer 2

You would need to buy 13.3 L of gasoline to complete the trip.

Step 1. Convert kilometres to miles

Distance = 142 km × (0.6214 mi/1km) = 88.24 mi

Step 2. Calculate the gallons of gas

V = 88.24 mi × (1 gal/25.0 mi) = 3.530 gal

Step 3. Convert gallons to litres

V = 3.530 gal × (3.78 L/1 gal) = 13.3 L