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

 Planks across a ditch (Posted on 2017-08-17)
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

 Search: Search body:
Forums (45)