In reply to Sutty22:
The Stubai region isn't far way from Innsbruck, approximately 50 Kilometer. But the street leading towards Sölden is heavily frequented in the morning and evening, seeing people travel from all over. Under normal circumstances it would take you 50 minutes, but it could extend dramatically, especially at the weekend. At least you wouldn't face that situation leaving in the afternoon.
Good luck
Ewen