Noah and Owen will have each biked miles in hours. Submit

Question

Noah and Owen started out at their houses and are biking towards each other. Noah started out first, and has already gone 1 mile. He bikes at a constant speed of 3 miles per hour. Owen just left, and rides at 4 miles per hour. When the boys meet halfway between their houses, they will continue to the park together. How far will each boy have ridden? How long will that take?

Answer 1

Let x = Owen's time, then 4x = Owen's distance

 

Then (x + 1) = Noah's time, and 3(x + 1) = Noah's distance.

 

Since they meet 'halfway' between the houses, the distances will be equal. 

 

4x = 3(x + 1)

 

4x = 3x + 3

 

x = 3

 

3 hours time for Owen and 4 hours time for Noah; each boy will have ridden 12 miles.