Three athletes are running around an athletics track. The fastest athlete completes a lap in two minutes, the middle athlete completes a lap in three minutes, and the slowest athlete completes a lap in four minutes. They all start running at the same time and maintain their individual running speeds consistently.
After how many minutes will the three athletes be at the same point on the track?
In a minute the three athletes complete six, four and three twelfths of a lap, so after twelve minutes they will each have completed six, four and three laps respectively, and all be back at the starting point.