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Six Bugs (Posted on 2004-03-16) Difficulty: 4 of 5
Remember "Four Bugs" or "Three Bugs"?

In this problem, the six bugs start at the corners of a regular hexagon (with side length=10 inches).

Again, the bugs travel directly towards their neighbor (counter-clockwise). And, again, each bug homes in on its target, regardless of its target's motion. So, their paths will be curves spiraling toward the center of the hexagon, where they will meet.

What distance will the bugs have covered by then, and how did you determine it?

  Submitted by SilverKnight    
Rating: 3.2500 (4 votes)
Solution: (Hide)
20 inches as discussed here and here. It also can be derived from the ideas in the Three Bugs solution in Charlie's comment here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAn Attempt To GeneralisationK Sengupta2007-05-16 11:08:49
SolutionProblem Solution With ExplanationK Sengupta2007-05-16 05:47:45
answerK Sengupta2007-05-12 13:45:06
Some ThoughtsOn and On ...CeeAnne2004-10-14 18:25:57
re: Where's PennyPenny2004-03-22 00:18:57
Where's PennyRichard2004-03-21 12:22:04
SolutionSolutionnikki2004-03-16 16:55:35
SolutionSolutionBrian Wainscott2004-03-16 15:02:30
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