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Problems
Contests
National and Regional Contests
Russia Contests
Soros Olympiad in Mathematics
VII Soros Olympiad 2000 - 01
9.4
9.4
Part of
VII Soros Olympiad 2000 - 01
Problems
(1)
cyclic and bus meet among 2 cities (VII Soros Olympiad 2000-01 R1 9.4)
Source:
7/28/2021
The distance between cities
A
A
A
and
B
B
B
is
30
30
30
km. A bus departed from
A
A
A
, which makes a stop every
5
5
5
km for
2
2
2
minutes. The bus moves between stops at a speed of
80
80
80
km / h. Simultaneously with the departure of the bus from
A
A
A
, a cyclist leaves
B
B
B
to meet it, traveling at a speed of
27
27
27
km / h. How far from
A
A
A
will the cyclist meet the bus?
algebra