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cyclic and bus meet among 2 cities (VII Soros Olympiad 2000-01 R1 9.4)

Source:

July 28, 2021
algebra

Problem Statement

The distance between cities AA and BB is 3030 km. A bus departed from AA, which makes a stop every 55 km for 22 minutes. The bus moves between stops at a speed of 8080 km / h. Simultaneously with the departure of the bus from AA, a cyclist leaves BB to meet it, traveling at a speed of 2727 km / h. How far from AA will the cyclist meet the bus?