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I'm not sure if people are understanding the idea. The traffic light timers are well before the lights, probably just after the previous intersection or on top of a blind corner/hill. And they would be a min speed/max speed indicator. This gives a constant speed range at that point, which if they stay in, they are guaranteed to make the green light. Since there are an infinite number of such ranges, only the range with the largest values are used.
So you have:
Min speed/Max Speed Indicator <---> several hundred metres <->traffic lights
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"Every body perseveres in its state of being at rest or of moving uniformly straight forward, except insofar as it is compelled to change its state by force impressed." - Isaac Newton
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