MBMT Team -- Fermat #10/Euler #7
Source:
March 29, 2015
Problem Statement
Mr. Rose, Mr. Stein, and Mr. Schwartz start at the same point around a circular track and run clockwise. Mr. Stein completes each lap in minutes, Mr. Rose in minutes, and Mr. Schwartz in minutes. How many minutes after the start of the race are the runners at identical points around the track (that is, they are aligned and are on the same side of the track) for the first time?