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Strips. Tri-tip strips cook to rare in about 8 to 10 minutes, and to medium in 12 to 14 minutes. This is the total cooking time, so turn the strips over at the halfway point -- 4 to 5 minutes on each side for rare, and 6 to 7 minutes on each side for medium.Calman Lugo/iStock/Getty Images.trips. Tri-tip strips cook to rare in about 8 to 10 minutes, and to medium in 12 to 14 minutes. This is the total cooking time, so turn the strips over at the halfway point -- 4 to 5 minutes on each side for rare, and 6 to 7 minutes on each side for medium. Calman Lugo/iStock/Getty Images.
Cook for 12 to 25 minutes per pound of tri-tip, depending on how well-done you want the roast. When the internal temperature reaches 125 degrees, the roast is rare. A temperature between 130 to 135 degrees is medium rare, with a 145-degree internal temperature denoting a well-done roast.