MathDB

Two bodies simultaneously emerge from points

A

and

B

towards each other. Every time each body finds itself at point

A

or point

B

, it changes the direction of its movement to the opposite (the absolute values of the velocities of both bodies are constant). A body that initially leaves point

A

travels the path

AB

101

seconds. A body that initially left point

B

travels the same path

AB

201

seconds. After

2 \cdot 101 \cdot 201

seconds, each body will be at its starting point. How many times during this time will the first body overtake the second?

Problem Statement