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average time per move is determined by 'time online but not moved in the waiting game'
as soon as you come online your time starts running .. until you moved in the game .. maybe the time is multiplied with the games still waiting for you to move ..
when you log off time stops running
this would determine the speed of move .. but not the speed in which you move after your opponent moved
(of course this could be faked by not logging off .. or by logging off each time you read the boards :))