Answer:
(a) = 0.12 miles, (b) = 4 miles (c) = 2 minutes.
Step-by-step explanation:
Given:
Kellie ran 8 miles in 72 minutes
Ashley ran 12 miles in 102 minutes.
To find :
(a) What is Kellie's minute-per-mile pace ?
(b) How far did Ashley run in 34 minutes?
(c) What was the difference in Kellie and Ashley's times after they ran 4 miles?
Solution:
In 72 minutes Kellie runs = 8 miles
In 1 minute Kellie runs = [tex]\frac{8}{72}[/tex][tex]= \frac{1}{9}[/tex] = [tex]0.12[/tex]
Thus, Kellie's minute-per-mile pace = 0.12 miles per minute.
Ashley ran n 102 minutes = 12 miles
Ashley ran in 1 minute = [tex]\frac{12}{102}[/tex]
Ashley ran in 34 minute = [tex]\frac{12}{102} \times34 = \frac{408}{102}[/tex] [tex]= 4[/tex] miles
Therefore, Ashley runs 4 miles in 34 minutes.
Kellie ran 8 miles in = 72 minutes
Kellie ran 1 mile in = [tex]\frac{72}{8} = 9[/tex]
Kellie ran 4 mile in = [tex]9\times4 = 36[/tex]
Ashley ran 12 miles in = 102 minutes.
Ashley ran 1 mile in = [tex]\frac{102}{12}[/tex]
Ashley ran 4 miles in = [tex]\frac{102}{12} \times4 = \frac{408}{12} = 34[/tex]
Thus, the difference in Kellie and Ashley's times after they ran 4 miles is,
Time taken by Kellie for 4 miles - Time taken by Ashley for 4 miles
36 - 34 = 2 minutes
Thus, the difference in Kellie and Ashley's times after they ran 4 miles is 2 minutes.
