Question

In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 31.0mi/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.

Answer 1

We need to convert the mileage from mi/gal units into to km/L units using the conversion factors.

(31.0 mi/gal) x (1 km / 0.6214 mi) x (1 gal / 3.78 L) = 13.20 km/L

Next, we divide the distance by the mileage. 
(142 km) / (13.20 km/L) = 10.79 L

Therefore, you need 10.79 liters of gasoline.

Answer 2

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:

1. Convert the car mileage from mi/gal units into km/L units.
2. Divide the distance by the converted mileage to get the amount of gasoline.

Step-1

The car mileage (in km/L)

$\boxed{ \ 31.0 \ \frac{miles}{gal} \times \frac{1 \ km}{0.6214 \ miles} \times \frac{1 \ gal}{3.78 \ L }\ } \rightarrow \boxed{ \ 13.20 \ \frac{km}{L} \ }$

Step-2

The amount of gasoline (in L)

$\boxed{ \ \frac{142 \ km}{13.20 \ \frac{km}{L}} \ } \rightarrow \boxed{\boxed{ \ 10.76 \ L \ }}$

Quick Steps:

$\boxed{ \ 142 \ km \times \frac{0.6214 \ miles}{1 \ km} \times \frac{1 \ gal}{31.0 \ miles} \times \frac{3.78 \ L}{1 \ gal} = \boxed{ \ 10.76 \ L \ } \ }$

Thus the amount of gasoline would we need to buy to complete a 142 km trip in Europe is 10.76 L.

Learn more

1. The unit conversion brainly.com/question/5416146
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3. What unit conversion factor would you use to multiply the given displacement oh the motorcycle engine on a Kawasaki Ninja? brainly.com/question/5009365

Keywords: gasoline efficiency in Europe, car, trip, km/L, mil/gal, mileage, conversions