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.

If that is true, it should be easy to prove that if the dogs can only move 1.4 times wolf speed there exists some strategy of escape.

Show this.

Posted by Eric on 2006-02-23 16:29:02