For a set amount of time, the distance kirk can run is directly related to his average speed. if kirk can run 3 miles while running 6 miles per hour, how far can he run in the same amount of time if his speed increases to 10 miles per hour?

5 miles.

Step-by-step explanation:

We have been given that for a set amount of time, the distance Kirk can run is directly related to his average speed. Kirk can run 3 miles while running 6 miles per hour. We are asked to find the distance covered if his speed increases 10 miles per hour in same time.

Now, we need to find distance covered at a rate of 10 miles per hour in 0.5 hour.

Therefore, Kirk can run 5 miles in same amount of time at a rate of 10 miles per hour.

-9/2

Step-by-step explanation:

6(x+2)=2(x-3)

6x+12=2x-6

6x-2x+12=-6

4x+12=-6

4x=-6-12

4x=-18

x=-18/4

simplify

x=-9/2