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

Home > Algorithms
Wolf in a field (Posted on 2006-02-23) Difficulty: 3 of 5
There is a wolf in the centre of a square field, and four dogs in the corners. The wolf can easily kill one dog, but two dogs can kill the wolf. The wolf can run all over the field, and the dogs -- along the fence (border) only. Prove that if a dog's speed is 1.5 times more than the wolf's, then the dogs can prevent the wolf escaping.

No Solution Yet Submitted by goFish    
Rating: 3.0000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Okay, then prove this: | Comment 10 of 17 |
(In reply to re: Okay, then prove this: by Wallace North)

Thanks, I was thinking of this problem wrong. (As I am oft to do)

The problem I want to see is where any dog can kill a wolf and the dogs can run some nominal amount faster than the wolf. Can the wolf escape?

This seems to be what you are explaining except I don't think that all the dogs would follow the wolf. Say he ran for the corner where two other dogs approached and then moved clockwise. only one dog would match the wolf while the other two would hustle to cover the other sides until they reached their safe spots on all four sides forming perpendicular lines which intersect at the wolf's position.

I think I am making this more difficult than it actually is.


  Posted by Eric on 2006-02-23 23:11:16
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 (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information