Question

Levi runs cross country. He runs 5 miles in 45 minutes. He runs 20 miles in 180 minutes. If he keeps the same pace, how long will it take him to run 12 miles?

Answer 1

Answer:

It will take 108 minutes to Levi  to run 12 miles

Step-by-step explanation:

Hi

Formulas

(1) $velocity=\frac{distance}{time}$ and (2) $time=\frac{distance}{velocity}$

Using (1) we can conclude that $velocity=\frac{5miles}{45minutes}=\frac{1}{9}mil/min$ in the first case, and for the second  $velocity=\frac{20miles}{180minutes}=\frac{1}{9}mil/min$, is the same.

Finally using (2) $time=\frac{12 mil}{\frac{1}{9}mil/min}=108min$, is the time that will take to Levi to run 12 miles.