MathDB

Arnaldo and Bernaldo train for a marathon along a circular track, which has in its center a mast with a flag raised. Arnaldo runs faster than Bernaldo, so that every

30

minutes of running, while Arnaldo gives

15

laps on the track, Bernaldo can only give

10

complete laps. Arnaldo and Bernaldo left at the same moment of the line and ran with constant velocities, both in the same direction. Between minute

1

and minute

61

of the race, how many times did Arnaldo, Bernaldo and the mast become collinear?

Problem Statement