Austin Kearns, hitting .364 in Grapefruit League play, drove in a pair of runs on a sac fly and an RBI double. (AP)

JUPITER, Fla. -- Will Rhymes drove in three runs and Wade Davis yielded one run in five innings to lead the Rays to a 3-2 win over the Marlins on Tuesday at Roger Dean Stadium.

Davis, competing for the fifth starter spot, limited the Marlins to three hits, while striking out five.

Marlins ace Josh Johnson reached his 75-pitch limit after 4 2/3 innings, allowing two runs on four hits with four strikeouts. His velocity picked up to 96 mph, and he pitched mostly in the 91-96 range.

Miami's ace remains lined up for the April 4 season opener against the Cardinals at Marlins Park.

"[I'm trying to] find my rhythm and my tempo -- build that consistency," Johnson said. "I know it's not going to be there 100 percent of the time, but get it there, 75 percent, 80, 95 percent of the time."

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A two-out rally produced two runs for the Rays, who grabbed a 2-1 lead in the third.

Jesus Feliciano singled with two out and moved to third on Desmond Jennings' single. Rhymes delivered a two-run double down the right-field line. On the play, he was tagged out after sliding past third base.

The Marlins got on the board in the second on Austin Kearns' sacrifice fly to right field. Gaby Sanchez, who doubled to open the inning, slid home safely.

Davis was shaken up in the second when Donnie Murphy's comeback grounder ricocheted off his lower right leg. The ball deflected over first baseman Matt Mangini's head into foul territory down the right-field line. Murphy raced into second base with a double.

Davis walked off the hard shot, threw a couple of warmup pitches, and remained in the game.

Rhymes added a two-out RBI single off Steve Cishek in the seventh.

Kearns ripped an RBI double in the ninth to cut the deficit to 3-2.

Up next for the Marlins: Miami's Spring Training off-day is set for Wednesday, before the team returns to action on Thursday at 1:05 p.m. ET to face the Braves at Lake Buena Vista, Fla. Ricky Nolasco and Brandon Beachy will be the pitching matchup. Jose Reyes, Omar Infante, Hanley Ramirez and John Buck are among the regulars making the trip.