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Solution to CyberTeaser B242

First, simultaneously light one piece of fuse at both ends and the second piece at one end. The first piece will burn in 30 seconds. As soon as it finishes burning, light the second piece of fuse at its other end. The second fuse will burn for 15 more seconds, which completes the 45 seconds. We invite the reader to check to check that a variable rate of burning along each fuse makes no difference.

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