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.
Is there a killer-wolf strategy where the wolf instead of trying to escape, tries to kill off the dogs one by one?
Posted by goFish
on 2006-02-23 17:32:21