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

Question

4641 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-10T17:23:52

$66$

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.