You have three ropes and some matchsticks. Each rope takes exactly 1 hour to burn, but does not burn at a constant rate. How can you use these ropes to measure 67.5 minutes?
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Burn the first rope on both ends, to measure half an hour. Use another rope and burn on one end, once the former rope has burned completely (half an hour), burn the other end of the second rope, giving you an effective way to measure 15 mins. That's the combination you can use to measure an hour and 15 mins
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