SOLUTION: Bryan and Yuan started out at their houses and are biking towards each other. Brian started out first, and has already gone 5 miles. He bikes at a constant speed of 3 mph. Yuan jus

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Bryan and Yuan started out at their houses and are biking towards each other. Brian started out first, and has already gone 5 miles. He bikes at a constant speed of 3 mph. Yuan jus      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1116655: Bryan and Yuan started out at their houses and are biking towards each other. Brian started out first, and has already gone 5 miles. He bikes at a constant speed of 3 mph. Yuan just left, and rides at 4 mph when the boys meet halfway between their houses, they will continue to the park together. How long will that take? How far will each boy have ridden?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Bryan and Yuan started out at their houses and are biking towards each other.
Brian started out first, and has already gone 5 miles.
He bikes at a constant speed of 3 mph. Yuan just left, and rides at 4 mph
when the boys meet halfway between their houses, they will continue to the park together.
How long will that take? How far will each boy have ridden?
:
Since they meet half way, we know they rode the same distance.
let t = the time Yuan rides to meet Bryan
"
write a distance equation, dist = speed * time
B's dist = Y's dist
3t + 5 = 4t
5 = 4t - 3t
5 = t
5 hrs riding by Yuan
5 + 5%2F3 = 62%2F3 hrs or 6 hrs 40 min rode by Bryan
:
Confirm this by finding the distance they rode
5 * 4 = 20 mi by Yuan
62%2F3 * 3 = 20 mi by Bryan alsol