our peds office told us the rapid test will show positive if there is strep but only after 24 hours of symptoms. the regular strep test I believe shows positive with any length of time, but takes 3 days to come back. so we usually wait 24 hours before heading in for a test (they do run both tests, btw). so to answer your question, the regular test should so positive from what I understand, but takes 3 days to come back, whereas the rapid most likely won't show positive until 24 hours after the start of symptoms
I will say my middle child doesn't always display typical strep symptoms, so the rapid can come back positive for him even though he hasn't had symptoms for 24 hours. obviously he was sick for at least that, we just didn't know it. (have had him tested when his brother and sister both come back positive)