In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 39.0mi/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.
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To find out how many liters of gasoline you would need to buy for a 142-km trip in Europe, we can use the given conversion rates.
First, let's convert your car's gas mileage from miles per gallon (mi/gal) to kilometers per liter (km/L).
We know that 1 mile is equal to 0.6214 km, and 1 gallon is equal to 3.78 liters.
So, to convert from mi/gal to km/L, we can use the formula:
Gas mileage in km/L = Gas mileage in mi/gal * (1 km / 0.6214 mi) * (1 gal / 3.78 L)
Now, let's plug in the given gas mileage of 39.0 mi/gal into the formula:
Gas mileage in km/L = 39.0 mi/gal * (1 km / 0.6214 mi) * (1 gal / 3.78 L)
Simplifying the equation:
Gas mileage in km/L = 62.765 km/L
Now that we have converted the gas mileage to km/L, we can calculate the number of liters of gasoline you would need for a 142-km trip.
To do this, we can use the formula:
Liters of gasoline = Distance of the trip / Gas mileage in km/L
Plugging in the values:
Liters of gasoline = 142 km / 62.765 km/L
Calculating the result:
Liters of gasoline ≈ 2.26 L
Therefore, you would need to buy approximately 2.26 liters of gasoline to complete a 142-km trip in Europe.