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National and Regional Contests
Russia Contests
Soros Olympiad in Mathematics
VII Soros Olympiad 2000 - 01
8.2
8.2
Part of
VII Soros Olympiad 2000 - 01
Problems
(1)
2 brothers walk, run, bus related (VII Soros Olympiad 2000-01 R1 8.2)
Source:
7/27/2021
The two brothers, without waiting for the bus, decided to walk to the next stop. After passing
1
/
3
1/3
1/3
of the way, they looked back and saw a bus approaching the stop. One of the brothers ran backwards, and the other ran forward at the same speed. It turned out that everyone ran to their stop exactly at the moment when the bus approached it. Find the speed of the brothers, if the bus speed is
30
30
30
km / h, neglect the bus stop time.
algebra