I think it could go one of three ways:
1) QD starts the game and does phenomenal right off the bat, leaving JG only few snaps in mop-up duty.
2) QD's first series stalls out, JG comes in second and does amazing, leaving QD few snaps.
3) Each of the two don't stick out in terms of performance and alternate series, which in my opinion is the worst case scenario.
Personally, I believe that the first scenario will play out, with QD grasping the starting position early in the game, leaving JG few snaps. I'll say 10-12 snaps total.