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 Three Bugs (Posted on 2004-01-22)
Remember this one?

In this problem, the three bugs start at the corners of an equilateral triangle (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 triangle, where they will meet.

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

 Submitted by SilverKnight Rating: 4.0000 (3 votes) Solution: (Hide) 6 2/3 inches. Charlie's solution is here.

 Subject Author Date Problem Solution With Explanation K Sengupta 2007-05-16 05:42:51 answer K Sengupta 2007-05-16 05:41:09 re: solution Federico Kereki 2004-01-23 08:59:40 re: There must be some bugs in this solution !!! Charlie 2004-01-23 00:40:34 re(5): There must be some bugs in this solution !!! SilverKnight 2004-01-23 00:37:21 re(2): solution Penny 2004-01-22 20:23:06 re(4): There must be some bugs in this solution !!! Penny 2004-01-22 19:23:52 re(3): There must be some bugs in this solution !!! SilverKnight 2004-01-22 18:43:34 re(2): There must be some bugs in this solution !!! Charlie 2004-01-22 17:46:55 re(2): There must be some bugs in this solution !!! Penny 2004-01-22 17:21:58 solution ackv 2004-01-22 16:51:02 re: There must be some bugs in this solution !!! Richard 2004-01-22 16:45:58 re(2): solution Penny 2004-01-22 15:03:05 re: solution Charlie 2004-01-22 14:59:13 solution Charlie 2004-01-22 14:54:39 There must be some bugs in this solution !!! Penny 2004-01-22 14:45:02

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