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Spain Mathematical Olympiad
1967 Spain Mathematical Olympiad
3
3
Part of
1967 Spain Mathematical Olympiad
Problems
(1)
how many seconds can red be on at the secondary traffic light
Source: Spanish Mathematical Olympiad 1967 P3
12/4/2022
A traffic light installed at a main junction of a road, in which you circulate in both directions, it remains red for
30
30
30
s and green for another
30
30
30
s, alternately. You want to install another traffic light on the same road, for a secondary crossing, located
400
400
400
m away from the first, which works with the same period of
1
1
1
min duration. It is wanted that the cars that circulate at
60
60
60
km/h on the road in any of the two senses and that they do not have to stop if there was only the traffic light of the main intersection. They also don't have to stop after installing the secondary crossover. How many seconds can red be on at the secondary traffic light?Note: It is suggested to reason on a Cartesian representation of the march of the cars, taking an axis of distances and another of times.
algebra