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Poland - Second Round
1979 Poland - Second Round
1
1
Part of
1979 Poland - Second Round
Problems
(1)
shortest time to among two point on edge of a circular pool.
Source: Polish MO Recond Round 1979 p1
9/9/2024
Given are the points
A
A
A
and
B
B
B
on the edge of a circular pool. The athlete has to get from point
A
A
A
to point
B
B
B
by walking along the edge of the pool or swimming in the pool; he can change the way he moves many times. How should an athlete move to get from point A to B in the shortest time, given that he moves twice as slowly in water as on land?
geometry
algebra