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 BOING! (Posted on 2003-09-17)
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: ( Back to comment list | You must be logged in to post comments.)
 Just a thought | Comment 7 of 15 |
Is it not possible that the slabs are 19 steps x 35 inches/step = 665 inches long? Unlikely I realise, and I know your answer is the one being looked for, but what is it that's keeping us to 7 slabs a cycle?
 Posted by Sam on 2003-09-17 22:36:42

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