MathDB
2011 ToT Fall Junior O p5 pedestrian and cyclist, meet a cart and a car

Source:

March 22, 2020
algebracombinatorics

Problem Statement

On a highway, a pedestrian and a cyclist were going in the same direction, while a cart and a car were coming from the opposite direction. All were travelling at different constant speeds. The cyclist caught up with the pedestrian at 1010 o'clock. After a time interval, she met the cart, and after another time interval equal to the first, she met the car. After a third time interval, the car met the pedestrian, and after another time interval equal to the third, the car caught up with the cart. If the pedestrian met the car at 1111 o'clock, when did he meet the cart?