# Brian runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?

Mar 10, 2018

$66$

#### Explanation:

Whenever we're dealing with problems like these, it helps to set up a ratio. So let's do that!

We can set up a ratio where miles is our numerator, and minutes (time) is our denominator. We get:

$\frac{6}{44} = \frac{9}{x}$, where $x$= Minutes (time)

We can now cross multiply, which is essentially multiplying in the pattern of an $x$. Here's what I mean:

$\frac{\textcolor{b l u e}{6}}{\textcolor{red}{44}} = \frac{\textcolor{red}{9}}{\textcolor{b l u e}{x}}$

We will be multiplying the $6$ by $x$, and the $44$ by $9$. We get:

$6 x = 396$

We can divide both sides by $6$ to get:

$x = 66$

Sure, we have an $x$ value as our answer, but what does this mean in the context of the problem?

Well, earlier, we defined $x$ as being time, or minutes in this situation. In our ratio, it was below $9$ miles.

This means it will take Brian $66$ minutes to run $9$ miles.