MathDB
in the same direction for 2 hours 2 bodies move evenly on a circular route

Source: 2002 Moldova JBMO TST p11

February 25, 2021
combinatoricsalgebra

Problem Statement

Simultaneously from the same point of a circular route and in the same direction for two hours two bodies move evenly. The first body performs a complete rotation three minutes faster than the second body and exceeds it every 99 minutes and 2020 seconds. Whenever the first body will overtake the other the second exactly at the starting point?