I was thinking about this phenomenon today. Digital clocks are so common now that I don't often need to read an analog one, much less in a hurry. I worry that I'm losing the ability to do so. (The worry is a little bit because I might still need it at some point, and much more because being able to quickly read analog clocks makes me feel like a grown-up.) In particular, when I am called upon to read one, I'm embarrassed by how long it takes me to do so. It's only several seconds, but that's enough to make it clear to anyone watching that I had to stop and think about it.
But then I caught myself, and thought, wait a moment. Am I actually much slower at this than I used to be? Or is reading an analog clock really just a noticeably slower action than reading a digital one? This is intuitively plausible; it has more mental steps. Rather than comparing my current analog-clock-reading speed with a previous one (which I don't really remember), I'm comparing it to my digital-clock-reading speed, which doesn't make sense. I was going to ask how you'd design an experiment to test this. Then I remembered that not everyone is young enough to have to speculate about what it's like not having mostly digital clocks around. :P So if you're old enough to have significantly more practice reading analog clocks than digital, how long does it take you to read one? Is it noticeably longer than reading a digital clock? If you aren't, and have a significantly different experience from mine, I'm interested in that too.
When reading an analog clock, what method do you use? Do you:
(1) multiply the (minute-hand) number by 5?
(2) search a memorized list of (minute-hand number, number of minutes) correspondences (i.e. remember that "8" corresponds to 40 minutes separately from remembering that 8*5 = 40)?
(3) use the minute-hand number as a measure of the geometric angle of the minute hand's current position, and remember a correspondence between visualized angles (that are multiples of 30 degrees) and numbers of minutes?
(4) something else?
My own method seems to be a combination of (2) and (3). (I think I originally learned by "counting" multiples of 5 up to whatever the current minute-hand position was. This is actually similar to the way I learned multiplication, but the two processes weren't stored in the same mental location.)
(4): Ditto Khoth -- the keys in my lookup table are angles (mainly the obvious four). When I'm thinking about the minute hand or second hand, I don't think about the hour numbers printed on the clock face at all.