Rope Riddle Answer

The answer to the rope riddle is quite simple if you think about it. 
What you do is you light both ends of rope “A”, and one end of rope “B” right at the beginning.  You then wait for all of rope “A” to burn up, which signifies that exactly 30 minutes have passed. 

At the moment that rope “A” is completely burned up, light the other end of rope “B”.  By doing this, you are allowing rope “B” to burn for only 15 more minutes, because it is burning twice as fast because the fire is coming from both ends.  Also, rope “B” had already burned for 30 minutes as we did in the previous steps, so we know that it only has 15 to go until it is used up because you lit both ends.

30+15=45

And there it is.

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