Amelia used 6 liters of gasoline to drive 48 kilometers.How many kilometers did Amelia drive per liter?kilometers =At that rate, how many liters does it take to drive 1 kilometer?liters =

Answer :

Answer:

8km /hr

1/ 8 of a litre.

Explanation:

We are told that Amelia drives 48 kilometres in 6 hours, this means the number of kilometres she drives per litre is

[tex]48\operatorname{km}\div6\text{litres}[/tex][tex]\frac{8\operatorname{km}}{\text{litre}}[/tex]

Hence, Amelia drives 8 kilometres per litre.

The next question can be rephrased as, given that Amelia drives 8 km per litre, how many litres will it take to drive one kilometre?

To answer this question, we make use of the equation

[tex]\operatorname{km}\text{ travelled = 8km/litre }\cdot\text{ litres}[/tex]

Now, we want

km travelled = 1 km

and the above equation gives

[tex]\begin{gathered} 1=\frac{8\operatorname{km}}{\text{litre}}\cdot\text{litres} \\ 1=8\cdot\text{litres} \end{gathered}[/tex]

Dividing both sides by 8 gives

[tex]\text{litres}=\frac{1}{8}[/tex]

Hence, it takes 1/8 of a litre to drive 1 kilometre.

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