However, things then went wrong when Smith tried to move to the inside of the field, receiving contact on his left rear and slamming him into the wall as a result.
And, just moments later, Castroneves was out too, crashing into the apron and the wall for good measure and forced to retire.
The Daytona 500 takes place on Sunday
Will Helio Castroneves race in the Daytona 500?
Whilst Smith will now not race in Sunday's Daytona 500, Helio Castroneves will race in an expanded 41-car field.
Of course, if Castroneves had qualified, the field would have remained at 40.
With Smith and Castroneves out of duel one, it is down to the likes of Justin Allgaier and JJ Yeley to race it out to see who will qualify as the fourth open entry to Sunday's race.