The third hour was 09h00 in the morning. Common sense dictates that you do not find drunk people awake and arguing early in the morning. People get drunk at night (see 1 Thessalonians 5:7) and then they fall asleep to wake only late in the morning. When it comes to the Jews, they did not ordinarily eat so early in the day, much less drink wine.1
15 Ces gens ne sont pas ivres, comme vous le supposez, car c'est la troisième heure du jour.