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Math Help - Bugs walking on a stick

  1. #1
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    Bugs walking on a stick

    "You've got N point-equivalent bugs walking on a L cm long stick at 1 cm/s,
    starting from N separate points. Each bug falls off when it reaches the edge
    of the stick. When two bugs meet in a point, they swap direction and go on
    at the same speed.
    (a) How many seconds will pass, at most, before all bugs fall out?
    (b) How many direction swaps will a bug do, at most?"

    Now, I don't want the solution to this problem - I've actually found it.
    My question is, can you suggest me some specific text book, or a math topic
    to explore, to get better at this kind of problems?

    Thanks in advance.
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  2. #2
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    Re: Bugs walking on a stick

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  3. #3
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    Re: Bugs walking on a stick

    Thanks, I'll try it.
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