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

 Wolf in a field (Posted on 2006-02-23)
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.)
 dead dog? | Comment 15 of 17 |
If the dogs aren't at least 1.41 times faster than the wolf, the wolf may be able to escape by simply charging the nearest corner. The lone dog there can't get reinforcements in time, so the wolf will kill that dog and escape -- provided the wolf is an efficient enough killer that the time needed to reach and kill the lone dog is less than the time needed for the two adjacent dogs to reach that corner. Even if the dogs are only a little slower than 1.41 times the wolf, for a sufficiently large field size the lag time should still be enough for the wolf to kill and escape.
 Posted by Paul on 2006-02-25 00:02:40
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 (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information