MathDB
SMT 2013 Team #12

Source:

February 4, 2013

Problem Statement

Suppose Robin and Eddy walk along a circular path with radius rr in the same direction. Robin makes a revolution around the circular path every 33 minutes and Eddy makes a revolution every minute. Jack stands still at a distance R>rR>r from the center of the circular path. At time t=0t=0, Robin and Eddy are at the same point on the path, and Jack, Robin, and Eddy, and the center of the path are collinear. When is the next time the three people (but not necessarily the center of the path) are collinear?