Quicktime in sync on hard drive but when imported to Premiere, its out

I have transferred videos from DV Deck and Beta Decks using Elgato Capture to portable hard Drives.  When I play the Quicktime on the hard drive, its in sync.  When I put it in Premiere, its out of sync.  What can be done?  When I do the same thing but play it in Final Cut, it works fine.  I don't want to go back to Final cut