Q:

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

Accepted Solution

A:
Answer:It will take 2.5 hours before they meetStep-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 aDistance = speed × timeDistance covered by Jim = 2aAnd Ava runs at a constant speed of 6 mph.Let time taken by Ava to cover her distance be bDistance = speed × timeDistance covered by Ava = 6bWhen they meet, total distance covered would be 20miles. Therefore,2a + 6b = 20To get the common time it takes for them to cover this distance,a = b2a + 6a = 208a = 20a =20/8 = 2.5hours