Evan Longoria was used as the designated hitter to get him off his feet, and Maddon gave Desmond Jennings the day off in 90-degree weather.
"It's maybe not so much the fatigue today, but the fatigue that follows," Maddon said. "You've got all these time changes and the travel component within it. If you can keep a fresh mind right now, the body will follow. It's about keeping a fresh mind."
The Rays were making a one-game trip for just the second time. In 2004, they went to New York for one game and absorbed a loss.
Bill Chastain is a reporter for MLB.com. Robert Falkoff is a contributor to MLB.com. Dick Kaegel contributed to this story.
This story was not subject to the approval of Major League Baseball or its clubs.