MathDB
bus, cyclist, motorcyclist, pedestrian (VI Soros Olympiad 1990-00 R2 11.2)

Source:

May 28, 2024
algebra

Problem Statement

A bus and a cyclist left town AA at 1010 o'clock in the same direction, and a motorcyclist left town BB to meet them 1515 minutes later. The bus drove past the pedestrian at 1010 o'clock 3030 minutes, met the motorcyclist at 1111 o'clock and arrived in the city of BB at 1212 o'clock. The motorcyclist met the cyclist 1515 minutes after meeting the bus and another 1515 minutes later caught up with the pedestrian. At what time did the cyclist and the pedestrian meet? (The speeds and directions of movement of all participants were equal, the pedestrian and the motorcyclist were moving in the direction of city AA.)