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I came across this fun little brainteaser, I hope you all enjoy!

You are given two pieces of rope, and a book of matches. The two pieces of rope are in no way alike, they are different lengths and widths. All you know about the two pieces of rope is that if you were to light one on fire it would take an hour to burn from end to end. The rate at which the ropes burn are different, and the rates are not constant. That is to say, for example, it could take 5 minutes to burn half way, and then another 55 minutes to burn the other half. Furthermore the two ropes do not burn at the same rate.

The challenge then is to say when exactly 45 minutes have elapsed, using only the two ropes, and your matches.

Let me know if any part of this needs clarification.

Enjoy!