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You have two ropes, each of which takes exactly 60 minutes to burn from one end to the other.
The ropes are not identical, nor are they uniform – that is, it’s not guaranteed that one half of the rope takes exactly 30 minutes to burn.
How can you use these two ropes to time exactly 45 minutes?
This puzzle challenges you to time exactly 45 minutes using only two ropes, each of which takes 60 minutes to burn from one end to the other. However, the ropes are not identical, which means that you cannot assume that one half of the rope takes exactly 30 minutes to burn.
The puzzle requires you to think creatively and come up with a solution that uses both ropes in a non-standard way to measure exactly 45 minutes. You might consider ideas like cutting the ropes into sections, using one rope to measure time and the other for something else, or burning the ropes at different rates.
The key to solving the puzzle is to recognize that you can use both ropes at the same time, but not in the way that you might expect. By burning one rope and using the other to measure a certain amount of time, then burning the second rope and using the first to measure another amount of time, you can combine the two intervals to get a precise measurement of 45 minutes.
To achieve this, you will need to think carefully about how the ropes burn and how you can use them to measure specific amounts of time. With a little experimentation and some creative thinking, you should be able to come up with a solution that uses both ropes to measure exactly 45 minutes.
Here’s one solution to the puzzle:
1. Light the first rope at both ends, and the second rope at one end.
2. The first rope will burn completely in 30 minutes, at which point the second rope will have burned halfway.
3. Light the other end of the second rope. It will take 15 more minutes for the second rope to burn completely, for a total of 45 minutes.
4. When the second rope has burned completely, exactly 45 minutes will have passed.
The key idea behind this solution is that you use the first rope to time 30 minutes (since it burns completely in 60 minutes) and then use the second rope to time the remaining 15 minutes (since it has already burned for 30 minutes, and will take another 30 minutes to burn completely).