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A gas station is 33 miles away. Using the following conversion: 1 mile is 1.6 kilometers, how far is the gas station in kilometers?

1 Answer

Jan 30, 2017

$52.8$ $52.8$ kilometers.

Explanation:

Let $m$ $m$ be the distance in miles, and $k$ $k$ the distance in kilometers.

Then, we know that 1 mile is 1.6 kilometers, so,

$\frac{m}{k} = \frac{1}{1.6} \Rightarrow k = 1.6 m$ $m/k = 1/1.6 => k = 1.6m$

Using this equation, we can "plug in" a value in miles and solve for $k$ $k$ to get the distance in kilometers:

$33 \cdot 1.6 = k \Rightarrow k = 52.8$ $33 * 1.6 = k => k = 52.8$ .

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