An inviting image showing two female runners of Middle-Eastern and Hispanic descent, respectively, with the name Ava and Kelly, on a running track. They're wearing running gear and sneakers. To represent the question, show Ava in the foreground running at a steady pace, while Kelly, slightly ahead, is running at a faster pace. Display the road winding into the distance. Don't include clocks or time devices to indicate the timing. There can be an outdoor setting with trees and a clear sky. Ensure the image is free from any text.

Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour.

When are they both 3/4 miles apart?

Ok these responses are correct but there is one thing missing. 8t - 6t = 3/8 miles, agree? Though they expect it in minutes so the answer is not 3/8 but 45/2 because we found 3/8 as the answer but it's not only 3/8. 3/8 is the hours and they are asking for minutes so you multiply by 60 and get 45/2. Hope this helped :)

Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour. If Kelly finished the race in1 1/2 hours, how long did it take Ava to finish the race?

Let's start with the formula:

distance = rate x time

We know that the distance Ava and Kelly ran is the same since they started at the same place and finished at the same place. Let's call the total distance "d".

So, we have:

d = 6t (distance Ava ran)
d = 8(1.5) = 12 (distance Kelly ran)

Since d is the same in both equations, we can set them equal to each other:

6t = 12

Solving for t, we get:

t = 2 hours

Therefore, it took Ava 2 hours to finish the race.

45/2

9

Please help, I need a mathematical step-by-step explanation for this so I can do other problems like this!

I agree

the answer is 3/8

I simply used the formula

distance = time x rate
So Kelly went 8t miles
Ava ran 6t miles
the difference in their distances is 3/4 miles
this in math is : 8t - 6t= 3/4

Can't be explained in a simpler way.

Let that time be t hrs.

simply solve
8t - 6t = 3/4 miles

They might expect the answer is minutes, since the time is less than 1 hour