In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 38.0mi/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 complete a 142-km trip in Europe, we can use the given information and conversions.
First, let's convert the car's gas mileage from miles per gallon (mi/gal) to kilometers per liter (km/L). The conversion factor is 1km = 0.6214mi, and 1gal = 3.78L.
Since the car's gas mileage is given as 38.0 mi/gal, we can use the conversion factor as follows:
38.0 mi/gal * 0.6214 km/mi = 23.6092 km/gal
Next, we can convert the car's gas mileage from km/gal to km/L by dividing by the conversion factor of 3.78 L/gal:
23.6092 km/gal / 3.78 L/gal = 6.2443 km/L (rounded to 4 decimal places)
Now, we have the car's gas mileage in km/L. To calculate the number of liters of gasoline needed for a 142-km trip, we can use the formula:
Liters of gasoline = Distance (km) / Gas mileage (km/L)
Plugging in the values:
Liters of gasoline = 142 km / 6.2443 km/L ≈ 22.73 L (rounded to 2 decimal places)
Therefore, you would need to buy approximately 22.73 liters of gasoline to complete a 142-km trip in Europe.