MathDB

116

Part of 1969 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 116 All Soviet Union MO 1969 a wolf and 4 dogs 1969 leningrad 7.4*

Source:

6/23/2019
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 the dog's speed is 1.51.5 times more than the wolf's, than the dogs can prevent the wolf escaping.
algebra