I once ran a tourny that had some situations like this.
The first round was a set of characters chasing their kids/neieces/other related youngins who disapreared from magic school.
The second round was playing the characters (1st level mages) who had run away, while they were running. (FYI, a few groups used knowledge from the first round, which happens later, to try to change something, and every one got killed).
In round three, they switched between both for a time as they eventualy meet to foil the BBEG's plan.
For those wondering, the adventure was titled "Catgut Willie and the Whirling Vortex of Doom".