LA Times history blog covers 1899 LA speed limit law

[walkitout]

4 miles going through intersections or anywhere a ped might be getting on or off a street car
8 mph in general

bikes have to have a bell, gong or whistle to warn of their approach

http://latimesblogs.latimes.com/thedailymirror/2009/07/city-sets-new-speed-limits-on-bicycles.html

Interestingly, horses and wagons had a speed limit of 4 in intersections etc., and otherwise 6 mph