Answer:
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