Cyclists on circle
Source: Moscow Math Olympiad 2017, Grade 11, P4
April 25, 2017
algebra
Problem Statement
3 cyclists rides on track in form circle with length meters in one direction. Every has constant speed,and speeds are different. Photographer want to make photoshoot with 3 cyclists. It is possible if they will be on the part of track with length meters. Find minimum such that it is possible.