Question 32
Pedestrian, Cyclist and Motorcyclist start at 12.00 from town $A$ to town $B$ simultaneously. When each of them arrives at $B$ he whip rounds and moves to $A$, when he arrives at $A$ he again whip rounds and moves to $B$, and so on. After the start of the movement the first meeting is the meeting of Cyclist and Motorcyclist at some point $C$. By this time Pedestrian passes $1/6$ part of the distance between $A$ and $B$, and after 6 minute he meets Motorcyclist. The first meeting of Cyclist and Pedestrian is also held at $C$.
When do Pedestrian, Cyclist and Motorcyclist meet each other at the same point for the first time?
When do Pedestrian, Cyclist and Motorcyclist meet each other at the same point for the first time?