In duplicate bridge, you call a trick quitted once all four players have turned their cards over. In rubber bridge, you call a trick quitted once the four cards making up the trick are gathered by the winning side.
In duplicate, nobody can inspect a quitted trick although a player may look at (but not expose) his own card until someone leads to the next trick. In rubber bridge, a player may inspect the current trick until his side has played to the next trick.