MathDB

2015 F10 E7

Part of MBMT Team Rounds

Problems(1)

MBMT Team -- Fermat #10/Euler #7

Source:

3/29/2015
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 66 minutes, Mr. Rose in 1010 minutes, and Mr. Schwartz in 1818 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?