Question

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

Answer 1

`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:

`6/44=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:

`color(blue)6/color(red)(44)=color(red)9/color(blue)x`

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

`6x=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.