RU-ALLRUSSIAN 1969 Problem 2
A wolf is in the center of a square field and there is a dog at each corner. The wolf can run anywhere in the field, but the dogs can only run along the sides. The dogs' speed is 3/2 times the wolf's speed. The wolf can kill a single dog, but two dogs together can kill the wolf. Prove that the dogs can prevent the wolf escaping.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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