Nik
Not sure how Joey did it, nor do I think anyone but Joey would know how he did it specifically. But I've done my own approximations of pit duration times before, and could share a couple ways that I and I'm sure a number of other managers have attempted to approximate them.
For clarification for anyone reading, pit stop duration time means the entire time spent in the pits; meaning the total time of pit in, pit stop, then pit out. Another thing to clarify is that some tracks have been changed since 2017 when Joey wrote those guides. Silverstone is the one we all know. But Turkey has also been modified, its pit duration time increasing from 17 seconds to around 25 seconds.
One of the easiest ways to approximate is by looking at and comparing your lap times in the race results, especially looking at your inlaps and outlaps and comparing them to your regular laps. Yes, there are other factors which could influence those lap times like fuel, tyre wear, DRS/KERS use, traffic. The location of your pit box relative to the start/finish line also influences the difference in inlap vs outlap times. But on a whole I think you would be able to get a decent approximation, especially if done over multiple races on the same tracks.
Another is to time it live. One catch though. I believe Joey only raced at 1.0x speed; he retired right before 1.5x speed and 2.0x speed really caught on. So if you're doing 1.5x or 2.0x speed this method would be rather difficult to pull off reliably.
Whatever method you choose, there are many other factors that could influence pit duration time, and those I'd mentioned above are not exhaustive.
Time spent on pit stops vary; sometimes you'll get lucky and get fast 3-4s pit stops (regardless of how much fuel you put in from my experience, but others may have differing accounts), which would reduce the entire pit time by a good amount. On the other hand your pit stop may be delayed, especially when multiple cars come into the pits on the same lap and get in each other's way (when Joey wrote the guides I remember he mentioned that pit delays or 'prapes' shouldn't have that significant an impact now, but after coming back to the game this year I've seen people lose 3-5 or more seconds on pit delays alone, some even getting jumped by multiple cars who pitted on the same lap as them but were behind them before the pit stops). When you're in the pits and a car comes out right ahead of you, if you watch closely you'll see your car braking for the competitor coming out ahead of you; and the more cars you'll have to brake for as they come out right in front of you, the more you'll get delayed.
He cloud have used a chronometer, to calculated it, a lot of times, and did this calculation slower pit time+ faster pit time, and divided it
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