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.
38.0 mi/gal x (1 km/0.6214 mi) x (1 gal/3.78L) = ?km/L
Then ? km/L x #L = 142 km
Solve for #L.
Check that to make sure te units cancel.
I am not getting the write answer with this... Please help
To answer this question, we need to convert the car's gas mileage from miles per gallon (mi/gal) to kilometers per liter (km/L). Then we can use this value to calculate the amount of gasoline needed for a 142-kilometer trip in Europe.
To convert miles to kilometers, we will use the conversion factor 1 km = 0.6214 mi. Similarly, to convert gallons to liters, we will use the conversion factor 1 gal = 3.78 L.
Let's do the conversions step by step:
1. Convert the car's gas mileage from miles per gallon (mi/gal) to kilometers per liter (km/L):
Gas mileage = 38.0 mi/gal
Gas mileage in km/L = 38.0 mi/gal * 1 km/0.6214 mi * 3.78 L/1 gal
Performing the calculations:
Gas mileage in km/L = (38.0 * 1 * 3.78) / 0.6214 km/L
Gas mileage in km/L ≈ 230.152 km/L
Now we have the car's gas mileage in kilometers per liter.
2. Calculate the amount of gasoline needed for a 142-kilometer trip in Europe:
To calculate the amount of gasoline needed, we can use the formula: Gasoline needed = Distance / Gas mileage.
Distance = 142 km
Gas mileage = 230.152 km/L
Gasoline needed = 142 km / 230.152 km/L
Performing the calculation:
Gasoline needed ≈ 0.617 L
Therefore, you would need to buy approximately 0.617 liters of gasoline to complete a 142-kilometer trip in Europe.