Question

Kellie and her sister Ashley are training for a race. Kellie ran 8 miles in 72 minutes. Ashley ran 12 miles in 102 minutes. (a) What is Kellie's minute-per-mile pace? 9miles per minute (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?

Answer 1

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 = $\frac{8}{72}$$= \frac{1}{9}$ = $0.12$

Thus, Kellie's minute-per-mile pace = 0.12 miles per minute.

Ashley ran n 102 minutes = 12 miles

Ashley ran in 1 minute = $\frac{12}{102}$

Ashley ran in 34 minute = $\frac{12}{102} \times34 = \frac{408}{102}$ $= 4$ miles

Therefore, Ashley runs 4 miles  in 34 minutes.

Kellie ran 8 miles in =  72 minutes

Kellie ran 1 mile in = $\frac{72}{8} = 9$

Kellie ran 4 mile in = $9\times4 = 36$

Ashley ran 12 miles in = 102 minutes.

Ashley ran 1 mile in = $\frac{102}{12}$

Ashley ran 4 miles in = $\frac{102}{12} \times4 = \frac{408}{12} = 34$

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.