Jim and ava are 20 miles apart on a path when they start moving toward each other. jim walks at a constant speed of 2 mph, and ava runs at a constant speed of 6 mph. how long does it take until jim and ava meet

It will take 2.5 hours before they meet

Step-by-step explanation:

The initial distance between Jim and Ava was 20 miles on a path before they start moving toward each other.

Jim walks at a constant speed of 2 mph,

Let time taken by Jim to cover his distance be a

Distance = speed × time

Distance covered by Jim = 2a

And Ava runs at a constant speed of 6 mph.

Let time taken by Ava to cover her distance be b

Distance = speed × time

Distance covered by Ava = 6b

When they meet, total distance covered would be 20miles. Therefore,

2a + 6b = 20

To get the common time it takes for them to cover this distance,

a = b

2a + 6a = 20

8a = 20

a =20/8 = 2.5hours