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I'm assuming the following is true: (Feel free to correct)
Each rope has a different:
Length
Average Burn Rate
Both of the ropes do not have a constant burn rate, therefore, any segment of the rope may have a different burn rate.
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If in fact the burn rates for a single rope was not constant, I would then tend to think that this problem may have become too complex. If there are different lengths, and their overall burn rates (through the entire burn) were constant, then the puzzle would be easily solved, as I beleive someone has already said:
-------------------------*
+ Rope 1
-------------------------*
--------------------------------------------------- Rope 2
Light the *'s and at the same time light one end of the 2nd rope. when the two burning spot meet, supposedly at the +, stop the burning of the 2nd rope. Once again, assuming that burn rate is constant for each rope, and there is no speed-up/slow-down for an individual rope you'd be ok.
-SF
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