Logan Morrison added to Tampa Bay's lead in the third with a two-run homer off Jason Hammel that pushed the Rays' lead to 3-0. Rickie Weeks Jr. followed with a solo shot to complete the back-to-back homers act, the third time the Rays have accomplished that this season.
The Rays' offense got busy again in the fourth. Corey Dickerson tripled home a run and scored on Brad Miller's sacrifice fly to make it 6-0.
Meanwhile, Archer dominated the Royals' offense, which had scored 14 runs in its previous two games, by posting eight scoreless innings and allowing just five hits while striking out 11 en route to his third win of the season.