Obwohl = although, even though (not even if, there's a difference!) Obwohl ich Kaffee trinke, bin ich immer noch müde. = Although I drink coffee, I am still tired. Auch wenn ich Kaffee trinken würde, wäre ich immer noch müde. = Even if I drank coffee, I'd still be tired.

Exactly!

so in this context, she did come late? I thought she got the S-Bahn on time and was not late for work... haha. now I understand. ich bedanke mich! :)

Hallo Moahya, zu deinen Beispielsätzen: Frau1: Ich habe Glück gehabt. Obwohl ich spät aufgestanden bin, habe ich meine S-Bahn noch bekommen. Translation: I was lucky. Although/Even though I got up late I still caught my train. Mann1: Auch wenn du zu spät gekommen bist, hast du nichts Wichtiges verpasst. Translation: Although/Even though you were late, you didn't miss anything important. why is it not "Auch wenn du zu spät gekommen wärst, würdest du nichts Wichtiges verpasst."? Korrektur: Auch wenn du zu spät gekommen wärst, hättest du nichts Wichtiges verpasst. Translation: Even IF you had been late you would not have missed anything important. This is a third conditional sentence. Here you speak about a situation in the past that did NOT happen (=you were not late) but at the same time you think about the consequences if the situation had happened. In this context "auch wenn" means sogar wenn = auch falls = sogar falls In contrast to this the other situations DID happen. These are no conditional sentences.