alarm clock begins beeping
8:00:15
I actually begin waking up
8:00:45
I manage to get up and silence the dumb machine
8:10:00
alarm wakes me up again after initial snooze, ten minutes after I intended to be awake
If the snooze went in ten minute increments, and a person was fond of snoozing, after a handful of snoozes the time delay between alarm sounding and snoozing would add up and throw off the mental calculation.
"I've hit the snooze five times, it must be 8:50, oh shit it's actually 8:55, FML," versus, "I've hit the snooze five times, it must be 8:50, oh hey it's actually only 8:47."