59 minutes
15 - 3 minute rounds equals 45.
14 - 1 minute rest periods equals 14.
45 + 14 = 59.
Note: The bout is over after the 15 rounds, so the rest periods are only between rounds 1 to 14.
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59 minutes
15 times 3 = 45
14 times 1 = 14 (after the 15 round, the match is over, so you don't have the 1 minute rest period)