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Spain Contests
Spain Mathematical Olympiad
1967 Spain Mathematical Olympiad
7
7
Part of
1967 Spain Mathematical Olympiad
Problems
(1)
a caravan of cars circulates
Source: Spanish Mathematical Olympiad 1967 P7
12/4/2022
On a road a caravan of cars circulates, all at the same speed, maintaining the minimum separation between one and the other indicated by the Code of Circulation. This separation is, in meters,
u
2
100
\frac{u^2}{100}
100
u
2
, where
u
u
u
is the speed expressed in km/h. Assuming that the length of each car is
2.89
2.89
2.89
m, calculate the speed at which they must circulate so that the capacity of traffic is maximum, that is, so that in a fixed time the maximum number pass of vehicles at a point on the road.
algebra