SOLUTION: Andy starts walking from point a at 2 miles per hour. One-half hour later, Aaron starts walking from point a at 3.5 miles per hour and follows the same route. How long will it take

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Question 788173: Andy starts walking from point a at 2 miles per hour. One-half hour later, Aaron starts walking from point a at 3.5 miles per hour and follows the same route. How long will it take Aaron to catch up with Andy?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Andy starts walking from point a at 2 miles per hour.
One-half hour later, Aaron starts walking from point a at 3.5 miles per hour and follows the same route.
How long will it take Aaron to catch up with Andy?
:
let t = Aaron's travel time to catch up with Andy
then
(t+.5) = Andy's travel time when he is caught
:
They both walked the same distance, write a distance expression for each.
dist = speed * time
3.5t = 2(t+.5)
3.5t = 2t + 1
3.5t - 2t = 1
1.5t = 1
t = 1/1.5
t = hr or 40 min for Aaron to catch him
:
:
You can confirm this yourself, find the distance each traveled should be the same.

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