10.76 liters of gasoline.
Further explanation
Given:
- The car mileage is 31.0 mi/gal.
- We need to complete a 142-km trip in Europe.
- The following conversions are 1 km = 0.6214 miles and 1 gal = 3.78 L.
Question:
How many liters of gasoline would we need to buy to complete a 142 km trip in Europe?
The Process:
This case is about gasoline efficiency in Europe.
The steps to solve this case are as follows:
- Convert the car mileage from mi/gal units into km/L units.
- Divide the distance by the converted mileage to get the amount of gasoline.
Step-1
The car mileage (in km/L)
[tex]\boxed{ \ 31.0 \ \frac{miles}{gal} \times \frac{1 \ km}{0.6214 \ miles} \times \frac{1 \ gal}{3.78 \ L }\ } \rightarrow \boxed{ \ 13.20 \ \frac{km}{L} \ }[/tex]
Step-2
The amount of gasoline (in L)
[tex]\boxed{ \ \frac{142 \ km}{13.20 \ \frac{km}{L}} \ } \rightarrow \boxed{\boxed{ \ 10.76 \ L \ }}[/tex]
Quick Steps:
[tex]\boxed{ \ 142 \ km \times \frac{0.6214 \ miles}{1 \ km} \times \frac{1 \ gal}{31.0 \ miles} \times \frac{3.78 \ L}{1 \ gal} = \boxed{ \ 10.76 \ L \ } \ }[/tex]
Thus the amount of gasoline would we need to buy to complete a 142 km trip in Europe is 10.76 L.
Learn more
- The unit conversion https://brainly.com/question/5416146
- How much (in US dollars) will you spend on fuel on your trip? https://brainly.com/question/3959122
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Keywords: gasoline efficiency in Europe, car, trip, km/L, mil/gal, mileage, conversions
