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This is an alteration (not a duplicate) of either the "Two Fuses burn for 45 minutes" or Burning ropes as timers questions. The fuses in my question are not identical and the answer(s) to the other questions are not identical to the answer I've accepted. In this scenario:

  • I have two fuses of varying length.
  • The fuses are not made of the same material.
  • Each fuse does not burn at the same rate as the other.
  • A fuse does not necessarily burn at the same rate throughout.
  • Each fuse burns for 30 minutes.
  • Folding one of the fuses in half does not guarantee that it'll burn twice as fast as the burn rate is not uniform.

How do I time 45 minutes by burning fuses?

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    $\begingroup$ Duplicate doesn't mean exactly the same, it means same solution... Which in this case it is... $\endgroup$ – dcfyj Mar 28 '17 at 14:03
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    $\begingroup$ That's not how I define "duplicate": exactly like the original question $\endgroup$ – Agi Hammerthief Mar 28 '17 at 14:05
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    $\begingroup$ A dictionary is all fine and dandy, but this is the definition that matters $\endgroup$ – dcfyj Mar 28 '17 at 14:14
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    $\begingroup$ That's all very well, but it doesn't define what is considered to be a duplicate question/answer, only why and how questions are marked as duplicate. $\endgroup$ – Agi Hammerthief Mar 28 '17 at 14:22
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    $\begingroup$ Your only argument for how they're different is that the fuses are not identical. However that is completely irrelevant to your solution as you have stated: "Each fuse burns for 30 minutes". Regardless of how varied the fuses are, how different the burn rate is, it will always burn for 30 minutes. That makes any of the accepted solutions from the other duplicate puzzles, applicable to your question. $\endgroup$ – n_plum Mar 28 '17 at 14:41
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Light one at both ends.
when it is burned out 15 minutes have passed.
Light the other fuse and wait 30 minutes.
Total: 15 + 30 = 45 minutes.

Additional reasoning.

you are going to say that lighting one at both ends does not ensure it will burn out in 15 minutes. I say, if you build such a fuse I'll buy you 10 beers.

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    $\begingroup$ I don't think he can argue it won't burn in 15 minutes as it states that it will burn in 30 minutes, regardless of burning speeds.. Although I'm tempted by the beer offer to try and figure a way out ;) $\endgroup$ – n_plum Mar 28 '17 at 13:51
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It's the same answer as the other question you linked to, just half the times for everything.

Folding one in half and lighting it together to get half the time (15 min), and letting the other burn normally (30 min). Together you'll get 45 minutes.

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  • $\begingroup$ The burn rate isn't uniform; there's no guarantee that it'll take half the time to burn half the length. $\endgroup$ – Agi Hammerthief Mar 28 '17 at 13:52
  • $\begingroup$ Folding it in half means that it burns at the rate of the fastest-burning part. It could take 15 minutes to burn 30% of the way and 10 minutes to burn the remaining 20%. $\endgroup$ – Agi Hammerthief Mar 28 '17 at 13:59
  • $\begingroup$ Whether you fold it in half or not really doesn't alter the fact that you've lit both ends and it burns in 15 minutes $\endgroup$ – n_plum Mar 28 '17 at 14:07
  • $\begingroup$ We seem to be hung up on the halving part. So, let us say the fuse is laid out circularly, where both ends are simultaneously lit. The burn time will still be 15 minutes, regardless of the speed of the arcs. $\endgroup$ – wbogacz Mar 28 '17 at 14:30
  • $\begingroup$ ^ That works too.. I was just trying to pull from the other question's answer to show they work the same way. $\endgroup$ – n_plum Mar 28 '17 at 14:31

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