tonya runs 8 kilometers in 60 minutes. at this rate, how long would it take her to run 2 kilometers?
Here they have told you the extended amount of time and what that would give you. 8 kilometers=60 minutes, yes?
This is a ratio, meaning that you can have mulitiple numbers that mean the same thing.
You would, instead of multiplying like you would for a number larger than you're looking for, would simply divide both sides by the same number so that they'll stay even and balanced, the values unchanged.
So 8 and 60 have a same multiple, 4.
Divide four on both sides to get 2 and 15.
2 would be the number of kilometers you are looking for and 15 would be the number of minutes that Tonya would need to run.
we know that
Tonya runs \(8\) kilometers in \(60\) minutes
so
by proportion
Find the time take Tonya to run \(2\) kilometers
\(\frac{60}{8}\frac{minutes}{km}=\frac{x}{2}\frac{minutes}{km} \\ \\x*8=60*2\\ \\x=60*2/8\\ \\x=15\ minutes\)
therefore
the answer is
\(15\ minutes\)