The Royals have won four straight, matching the longest winning streak of the season, while the Twins have lost 19 of 23 and are in last place in the AL Central after winning the division the past two years.
Moustakas drove in runs in the second and fourth inning with singles. He doubled and scored in the two-run sixth inning.
Hochevar (11-11) gave up two runs on five hits in six innings. He improved to 6-3 in 12 starts since the All-Star break.
The Royals open a four-game series with the Chicago White Sox Thursday night. We’ll join the game at seven o’clock following Hawk Talk on KAYS (1400-AM).