11

Part of 2002 Junior Balkan Team Selection Tests - Moldova

Problems(1)

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

Source: 2002 Moldova JBMO TST p11

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

9

20

seconds. Whenever the first body will overtake the other the second exactly at the starting point?

combinatoricsalgebra