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.)
thought | Comment 16 of 17 |

This problem seems to be more complicated than I thought.

Let us say the wolf is at 0,0 & the four dogs at (0.5,0.5) (0.5,-0.5), (-0.5,-0.5) & (-0.5,0.5)

what happens if the wolf moves to (0.25,0.25) and then (0.125, 0.375) & moves back to (0.125,0.25)

2^0.5 should be the answer but this may generate answer closer to 1.5. don't know!

 

 


  Posted by salil on 2006-02-26 04:16:59
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 (2)
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