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

Home > Shapes
Planks across a ditch (Posted on 2017-08-17) Difficulty: 4 of 5
Consider an L-shaped ditch with straight sides and both legs of the same uniform width.

Part 1: How wide a ditch can be bridged with two 10 foot planks?

Part 2: How wide a ditch can be bridged with three 10 foot planks?

Note: consider the planks to be rigid line segments - very thin yet strong.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Part 2 | Comment 2 of 4 |
If the planks are rigid line segments, very thin yet strong, then they can be interleaved so that A is on B, B is on C, and C is on A.  Instead of using the corner, place the free end of A and B on one side and the free end of C on the other.  In theory, the free ends of A and B can be arbitrarily close, which means that we can bridge up to 20 feet.
  Posted by Steve Herman on 2017-08-18 12:16:14
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (45)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information