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

1 Answer
Mar 10, 2018

Answer:

#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.