# 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?

Jan 30, 2017

$52.8$ kilometers.

#### Explanation:

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

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

$\frac{m}{k} = \frac{1}{1.6} \implies k = 1.6 m$

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

$33 \cdot 1.6 = k \implies k = 52.8$.