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You have two ropes that each burn in 1 hour but not at a uniform rate.

How to measure 45 minutes?

Answer

Light rope A both ends and rope B one end; when A finishes (30 min), light B’s other end (15 min more)

Explanation

Light rope A at both ends and rope B at one end. When A burns out (30 min), light B’s other end; it burns 15 more minutes → 45 min.
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