MathDB

Along a circular railroad,

n

trains circulate in the same direction at equal distances between them. Stations

A, B

and

C

on this railroad (denoted as the trains pass them) form an equilateral triangle. Ira enters station

A

at the same time as Alex enters station

B

in order to take the nearest train. It is knows that if they enter the stations at the same time as the driver Roma passes a forest, then Ira takes her train earlier than Alex; otherwise Alex takes the train earlier than or simultaneously with Ira. What part of the railroad goes through the forest (between which stations)?

Problem Statement