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Homework Help: Motion Problem

  1. Nov 30, 2009 #1
    1. The problem statement, all variables and given/known data

    1. Two people leave from two towns that are 195 miles apart at the same time and travel along the same road toward eah other. The first person drives 5 miles slower than the second person. If they meet in 3 hours, at what rate of speed did each travel?

    2. Relevant equations
    d= rt

    3. The attempt at a solution

    Simple motion problems are easy. But HOW do we figure out problems when two objects are going down the same road/path, with X miles in between or even 'overtake' the other?

    No idea where to start. Tried to set up d=rt chart by there's too many variables in the problem (the 3 hours thing, then 5 miles slower?)
  2. jcsd
  3. Dec 1, 2009 #2


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    Homework Helper

    There are two towns, A and B, D distance apart. There are two people: the first starting from A with speed va, the other starts from B with speed vb=va-3.

    Denote the distance of the people from A by xa and xb. At the beginning, xa=0, xb=D

    After t time elapsed, the first man is xa=vat distance from A. The other man is xb=D-vbt distance from A.

    When they meet, they both are at the same distance from A: xa=xb.

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