MathDB
bus, cyclist, motorcyclist, pedestrian (VI Soros Olympiad 1990-00 R2 9.1)

Source:

May 28, 2024
algebra

Problem Statement

A car and a motorcyclist left point AA in the direction of point BB at 1010 o'clock, and half an hour later a cyclist left point BB (in the direction of point A) and a pedestrian left (in the direction of point AA) The car met the cyclist at 1111 o'clock hour and half an hour later overtook the pedestrian, and the motorcyclist overtook the pedestrian at 12:3012:30 p.m. At what time did the motorcyclist and the cyclist meet? (Speeds and directions of movement of ALL participants)