Mathematics, 19.10.2019 07:50 magicalforlife

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.

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Answer from: cicimarie2018

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 from: chgraypto

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)

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

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 moreThe unit conversion link How much (in US dollars) will you spend on fuel on your trip? linkWhat unit conversion factor would you use to multiply the given displacement oh the motorcycle engine on a Kawasaki Ninja? link

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

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In europe, gasoline efficiency is measured in km/l. if your car's gas mileage is 31.0mi/gal , how ma...

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