We can measure time without the use of stopwatch, but these techniques are not good enough. We have to use the stopwatch to measure time, The stopwatch is still irreplaceable!
Have you ever measured the time without using stopwatch? When you have the sun in the sky during exercise , do a careful observation of the sun's sway will be able to measure the time it? I know this is not the most memorable statement in the world, but it is absolutely true, The puzzle is a fantastic exercise for your brain. Therefore, it is wise to try at least to solve at least several different types of puzzles every week. And the best part is that this kind of mental exercise is very interesting!
To help you work harder and start to be more confused, today we are going to look at a great intellectual challenge that I have recently encountered. This puzzle is all about time, and how to measure time intervals in a very unusual way: Instead of using, measuring the time is by burning a specially crafted string, How does it work? What is a brain trailer?
Imagine that you have given several ropes of different lengths and thicknesses. Not only are the lengths and widths of the individual pieces different, but the width of each item is not uniform along its own length. In other words, when you go from one end to the other, they get thicker and thicker , in different places and different places.
Although all the works are different, they all have one thing, if you ignite one end, it usually takes an hour to burn to the other end. However, because each piece is thicker and thinner, a given string may not necessarily burn at an average rate. What I mean is that if you want the to record a string it won't necessarily burn half the length in 30 minutes - we can say that it burned the entire length for a full hour.
This is the setting. Here's the question Can I use these strings to measure the 45- minute interval? And, if possible, what would you do? Like every puzzle, if you try before finding out, it will become more interesting. So I encourage you to pause for a few minutes and let it go forever. Then, when you are ready, continue to seek answers.
This is a simple question . Before we solve today's problems, let us imagine a slightly simpler puzzle in which all the strings we give are burned at a uniform rate. In this case, you can solve this problem by simply folding a single string into half and then folding it in half so that the folds of the string become 1/4 of the entire length , 1/2 And 3/4 . Since the string burns at a consistent rate, all that is needed to measure 45 minutes is to light one end of the flame string and then wait until it burns to a 3/4 mark from the other end ; this is simple enough if it can be done Do you not need stopwatch?
However, sadly, the string segments we give in this puzzle are not as good, because they don't burn at a uniform rate. This means that we cannot simply fold a string into a quarter to calculate time. But this does not mean that we are not lucky because we can be smarter!
Here's what we need to do: We don't just light one end of a wire, but we light both ends simultaneously. How does this affect us? Then, the uneven thickness of a string means that we cannot say how fast the fire burns from one end to the other at any given moment. This is not the average speed . But, despite this, we do know that after two or three minutes, the two flames that burn each other must meet and meet.
This means that we now have a way to use the calculated every . 1 measured in hours 30 minute intervals. Of course, what we really want is to measure the 45- minute interval. So we haven't finished yet. What are we doing now? Before answering this question, if you haven't figured this out yet, I encourage you to stop for a moment and then continue.
Hao Ba , then what can we do to measure 45 intervals of minutes, rather than 30 or 60 minute intervals? The trick is, after we light up the first string from both ends, we need to light up another string from only one end. Then, when the two flames of the first string come together, we need to ignite the second string of the other end (according to time). At this point, the two flames of the second string will begin to burn toward each other, and after another 15 minutes, they will meet in the middle , you can also use the to calculate .
Then we put all this together, and we can see that after we started the whole process of setting the string, the burning time of the second string would take a total of 30 + 15 or 45 minutes. Therefore, by applying some clever ideas, we managed to measure the 45- minute interval. It's cool, right? Therefore, we can measure time without the use, but these techniques are not good enough. We have to use the stopwatch to measure time. The is still irreplaceable!