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 :

lestat345

Answer:

It will take 108 minutes to Levi  to run 12 miles

Step-by-step explanation:

Hi

Formulas

(1) [tex]velocity=\frac{distance}{time}[/tex] and (2) [tex]time=\frac{distance}{velocity}[/tex]

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

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

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