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.
I thought I missed something when considering SQR(2) as the minimal needed dog velocity.
But, what I learned: In French, Dutch and German, wolf is male, in english it is apparently female, that's funny.
Posted by Hugo
on 2006-02-23 13:08:20