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You have two ropes that each burn in exactly 60 minutes, but unevenly. How do you measure 45 minutes?

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You have two ropes, each taking exactly 60 minutes to burn completely but burning unevenly along their length. Using only these ropes, how do you measure exactly 45 minutes?
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You have two ropes, each taking exactly 60 minutes to burn completely but burning unevenly along their length. Using only these ropes, how do you measure exactly 45 minutes?

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Answer

Light both ends of rope one and one end of rope two at the same time. When rope one finishes burning (30 minutes), light the second end of rope two — it will then finish in another 15 minutes, totaling 45.

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