MathDB
a rabbit inside a square move at 10 km/h, 4 wolves in the vertices at max 14km/h

Source: Lusophon 2015 CPLP P3

August 29, 2018
combinatoricscombinatorial geometryspeed

Problem Statement

In the center of a square is a rabbit and at each vertex of this even square, a wolf. The wolves only move along the sides of the square and the rabbit moves freely in the plane. Knowing that the rabbit move at a speed of 1010 km / h and that the wolves move to a maximum speed of 1414 km / h, determine if there is a strategy for the rabbit to leave the square without being caught by the wolves.