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n 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 hint:Several conversions are necessary for this problem.First convert miles to kilometers using the conversion factor 1km=0.6214mi . That way the efficiency of your car can be measured in km/gal .Next convert gallons to liters using the conversion factor 1gal=3.78L .Finally, determine how many liters of gasoline are needed to complete a 142- km trip in your car.

Respuesta :

Given:

in Europe, gasoline efficiency is measured in km/L . If your car's gas mileage is 25 mi/gal

Required:

We want to find that how many liters of gasoline would you need to buy to complete a 142- km trip in Europe

Explanation:

We have

1km=0.6214mi and 1gal=3.78L

Now first of all we find the mileage in km/L from mi/gal

[tex]\begin{gathered} 1km=0.6214mi \\ \frac{1}{0.6214}km=1mi \\ \\ 1.61km=1mi \end{gathered}[/tex]

and we have

[tex]1gal=3.78L[/tex]

substitute both value in mileage to find the given mileage in km/L

[tex]\begin{gathered} 25\text{ mi/gal} \\ =25*\frac{1.61}{3.78}\frac{km}{L} \\ \\ =10.64\text{ km/L} \end{gathered}[/tex]

so the mileage of car is 10.64 km/L

it means in 1 L car can travel 10.64 km

now to find that how many L of gasoline to complete the 142 km trip

[tex]\frac{142}{10.64}=13.34\text{ L}[/tex]

Final answer:

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