All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution The Mechanical Revolution | Comment 1 of 8
I think the answer here would be half of the LCM of 35, 27, 84, and 34, or 2 * 3 * 3 * 3 * 5 * 7 * 17, or 32,130. The stripes would be on the opposite side of the gear than they were originally.
  Posted by Gamer on 2003-08-15 14:18:10
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information