SOLUTION: A courier who goes at the rate of 7.5 mi./h is followed, after 2.0 h, by another who goes at the rate of 8.5 mi./h. In how many hours will the second overtake the first?

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Question 1098064: A courier who goes at the rate of 7.5 mi./h is followed, after 2.0 h, by another who goes at the rate of 8.5 mi./h. In how many hours will the second overtake the first?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
The second courier started when the distance between them was 2*7.5 = 15 miles.


The distance between them decreases at the rate of 1 mile per hour. (8.5-7.5 = 1).


Having this, everybody can conclude that the answer is 15 hours.


For this type of problems, "catching up" problems, see the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.