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rhm, I think I see your point.
Say cars are driving down a 1000m stretch of road and you have to maintain a 1 second distance between cars.
In one lane all cars are going 100m/s, then the gap between each car would be 100m.
In another lane, all cars are going 10m/s, then the gap between each car would need to be 10m.
So at 100 m/s you can fit 10 cars on the stretch of road at any given time
At 10m/s you can fit 100 cars on the stretch of road at any given time.
If I'm the first car to enter the queue in:
case 1 (100m/s) I will finish in 10 seconds
case 2 (10m/s) I will finish in 100 seconds
But after this 100 second period, presumably a guy sitting at the finish line will see a car in the 100m/s lane and a 10m/s lane cross the line every second. The guy sitting at the start line will see a person going onto the road every second. Clearly the person in the the 100m/s will get to the finish line much faster than a person in the 10m/s lane.
So really the slowness of the 10m/s lane comes into play loading and unloading the queue.
In other words, suppose we allow cars on this 1000m stretch of road for 1000 seconds. In the first 100 seconds 0 cars have finished in the slow lane, but 10 cars have finished in the fast lane. For the next 800 seconds, a car in each lane finishes every second. But if want all cars off the road at the end of the 1000 seconds (the accurate ski analogy), you must stop allowing cars into the slow lane at the 900 second mark, but you can continue to allow cars into the fast lane until the 990 second mark .
How about that? That's all I've got time for at the moment, but I'm thinking the whole slower speed in the loading/unloading zone may play a factor as well.
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