Question

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?

Answer 1

The amount of time it took him to run 3 miles at 6 mph is 30 minutes

If Kirk ran 10 mph for a full hour, he would travel 10 miles.  Since he only runs for half that, he would travel 5 miles

Answer 2

Answer:

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.

$\text{\text{Time}}=\frac{\text{Distance}}{\text{Speed}}$

$\text{\text{Time}}=\frac{3\text{ Miles}}{\frac{\text{6 miles}}{\text{Hour}}}$

$\text{\text{Time}}=\frac{3\text{ Miles}}{\text{6 miles}}\times \text{Hour}$

$\text{\text{Time}}=0.5 \text{Hour}$

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

$\text{Distance}=\text{\text{Time}}\times \text{Speed}$

$\text{Distance}=\text{\text{0.5 hour}}\times \frac{\text{10 miles}}{\text{Hour}}$

$\text{Distance}=0.5\times \text{10 miles}$

$\text{Distance}=5\text{ miles}$

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