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.
(In reply to re: In bocca al lupo!
I think that killer-wolf depends on the unproven "Sleepy Dog " conjecture.
This is not elementary but see de Selby for further details.
Posted by goFish
on 2006-02-23 17:53:25