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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: College math
Topic ID: 76
#0, Bugs on a Table
Posted by Jean-Philippe DuBois (Guest) on Mar-13-01 at 10:35 PM
I look for analytic solution to following problem:

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Four bugs are at the corners of a square table. The bugs begin to move at the same instant, each one crawling at the same constant speed such that its velocity vector points, at all times, directly towards the bug initially on its right. Do the bugs ever meet, and if so, when?

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Any help or ideas much appreciated.


#1, RE: Bugs on a Table
Posted by alexb on Mar-13-01 at 10:39 PM
In response to message #0
This problem is discussed on page 64 of "Chicken from Minsk" by Yu. B. Chernyak and R. M. Rose, Basic Books, 1995

A hint is given: use symmetry.