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Get it in Gear (Posted on 2003-08-15) Difficulty: 3 of 5
Four gears are in constant mesh with each other. Gear A meshes only with Gear B, B meshes with A and C, C meshes with B and D, and D meshes only with C, like this:

A B C D

Gears A, B, C, and D have 35, 27, 84, and 34 teeth, respectively.

If a vertical stripe is painted on each gear, what is the minimum number of revolutions (>0) gear A would have to make before the four stripes are vertical again?

See The Solution Submitted by Bryan    
Rating: 4.3333 (3 votes)

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No Subject | Comment 5 of 8 |
I'm going with the same method, assuming that vertical lines on C and D are the same through half rotations.
LCM(35,27,42,17)=32130
32130/35=918 rotations of A
  Posted by Dave Cheetham on 2003-08-17 12:21:44
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