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BOING! (Posted on 2003-09-17) Difficulty: 4 of 5
I once knew a fellow who was a bit long of leg and short of foot.

The soles of his shoes were, in fact, exactly 9 inches long and his stride was exactly 35 inches. He had a habit of counting his steps when they were all on the same slab of the sidewalk and saying "Boing!" every time he stepped on a crack. If he stepped over a crack his counting started again at one, and of course his counting started at one after each "Boing!"

In his neighborhood there was a sidewalk with perfectly regular slabs all the same size. He noticed that when he walked along this sidewalk he always got the following repeating pattern (where "*" stands for "Boing!"):

121231231212312312*121231231212312312*121231....etc.

How far apart, in inches, were the cracks in the sidewalk?

See The Solution Submitted by DJ    
Rating: 4.1538 (13 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerK Sengupta2010-06-06 19:34:06
??solution??Bry2003-09-23 21:06:44
SolutionSolutionCarleton Dunn2003-09-21 14:55:17
re: solution(possibly)abc2003-09-19 15:22:18
solution(possibly)brandi2003-09-19 13:51:02
re(3): Solutionabc2003-09-18 13:00:21
re(2): Just a thoughtSam2003-09-18 11:43:35
re: Just a thoughtSilverKnight2003-09-17 23:25:13
Just a thoughtSam2003-09-17 22:36:42
re(2): more thoughts (update to problem)SilverKnight2003-09-17 18:21:36
Solutionre: more thoughts (update to problem)Brian Wainscott2003-09-17 18:10:32
more thoughts (update to problem)SilverKnight2003-09-17 15:38:01
Solutionre(2): SolutionSilverKnight2003-09-17 15:21:00
re: Solutionabc2003-09-17 14:31:17
SolutionSolutionSilverKnight2003-09-17 12:21:05
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