Earlier quoted context omitted.
>> road capacity does not increase with higher speeds Fundamentally untrue. If you reduce the average speed of a section of road, say for example in heavy rain, the capacity or throughput of that section of road is reduced since less vehicles can pass through in the same time. If you can keep drivers attentive enough to maintain safe distance between vehicles, you can increase the speed of a section of road. >> Once…
The capacity of a sufficiently long road section does not increase with speed because the safety distance must also increase with speed. A good rule of thumb is to keep a 2 second (or 3 second) distance between vehicles, and that means that the peak throughput of any single lane is 0.33-0.5 vehicles per second regardless of speed. The total time spent on the road increases and the utility of the road decreases since…
Most roads aren't sufficiently long and there's plenty of other factors and practical road usage is nowhere near this perfect maximum of safe usage but to point out your mathematical error:
For 10 minutes a section of road 1 mile long has traffic pass through it. The cars have 3 second gaps between them.
At 30 mph: 160 cars max throughput At 60 mph: 180 cars max throughput
In the 30mph example, for the first 2 minutes, 0 cars have completed the 1 mile stretch, for the period 2-10 mins, cars pass the finishing line every 3 seconds. 160 cars complete the 1 mile stretch in 10 mins.
In the 60mph example, only the 1st minute is spent without traffic completing the throughput analysis. For the period 1-10 mins, cars pass the finishing line every 3 seconds. 180 cars complete the 1 mile stretch in 10 mins.