Can you solve the jail break riddle? - Dan Finkel

4,114,398 views ・ 2019-02-26

TED-Ed


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譯者: Lilian Chiu 審譯者: Helen Chang
00:06
Your timing made you and your partner
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你的時間掌控讓你和你的夥伴
00:08
the most infamous bank robbers in the west.
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成為西方最聲名狼藉的銀行搶匪。
00:11
Now, you’ll need to use that timing to help you break out of jail.
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現在你得用這掌控時間的能力 來幫助你逃獄。
00:15
At the appointed time, you’ll be walking in the yard near the electric fence.
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在指定的時間,你會在 通電柵欄附近的院子散步。
00:20
Your partner will flash you the signal,
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你的夥伴會向你打閃燈信號,
00:22
and exactly 45 seconds later,
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信號發出後四十五秒,
00:25
short out the fence circuit.
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就會讓柵欄電路短路。
00:27
It’ll automatically restart after a second or two,
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在一秒或兩秒之後, 它會自動重新啟動,
00:30
but as long as you move fast,
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但只要你的動作夠快,
00:32
you’ll be home free.
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你就能自由返家。
00:34
And then you notice,
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接著,你注意到 一件讓你害怕的事,
00:35
to your horror,
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00:36
that your watch is broken,
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你的手錶壞了,
00:38
and there’s no time to fix it.
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且來不及修好它。
00:40
The signal is coming,
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信號就要來了,
00:41
and if you make even a small mistake in counting off 45 seconds,
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如果你在計算四十五秒時 有一點點的誤差,
00:45
you’ll get fried.
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你就會燒焦。
00:47
Searching your pockets,
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你在口袋中摸索, 找到了可能可以幫上忙的東西:
00:48
you find something that might help:
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00:51
a lighter and two fuses you made earlier in the prison work program.
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一個打火機和兩根保險絲, 是你先前在監獄工作計畫中做的。
00:56
Each fuse is a length of flammable twine,
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每一根保險絲都是 一段可燃的線段,
00:59
built to be lit on either end and burn for precisely one minute.
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設計是兩端都可以燃燒,
剛剛好一分鐘燒盡。
01:04
The problem is that even though the fuses look uniform,
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問題是雖然保險絲看起來粗細均勻,
01:07
they don’t burn evenly,
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它們的燃燒並不平均,
01:09
so if you cut one in half, for example,
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因此如果你把一根保險絲對半切,
01:11
one side might burn longer than the other.
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一半的燃燒時間可能會比另一半長。
01:15
Your partner is going to give the signal any minute,
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你的夥伴隨時都會給你信號,
01:17
and you’ll have to make your move.
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到時你就得要行動。
01:19
How can you use the fuses and lighter to time exactly 45 seconds?
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你要如何用保險絲和打火機 來計時,算出剛好四十五秒?
01:24
Pause the video to figure it out yourself.
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如果想嘗試自己解題, 請在此暫停。
01:29
Answer in 3
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答案即將公佈:3
01:31
Answer in 2
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答案即將公佈:2
01:33
Answer in 1
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答案即將公佈:1
01:35
The length of the fuse may not tell you anything,
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保險絲的長度可能 無法給你任何資訊,
01:37
but you do know the fuses take exactly 60 seconds to burn from end to end.
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但你確實知道從一端燃燒到 另一端會花剛好六十秒。
01:43
Here’s the key insight:
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關鍵的洞察如下:
01:44
If you start a fuse on one side and it burns for 30 seconds,
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如果你從一端點燃一根保險絲, 它燃燒了三十秒,
01:48
there’ll still be 30 seconds of fuse left.
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就還有三十秒的保險絲未燃燒。
01:52
If you had started it from the other end,
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如果你從另一端開始點燃,
01:54
it would’ve reached the exact same spot in thirty seconds.
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在三十秒時, 它也會燒到同一個點。
01:58
That means that if you lit it from both ends simultaneously,
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那就表示,如果 你同時從兩端點燃,
02:01
it would burn out in precisely 30 seconds.
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那根保檢絲就會在 剛好三十秒時燒完。
02:05
But how will you time the last fifteen?
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但你要如何計算剩下的十五秒?
02:08
That’ll have to come from the second fuse.
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那就要用到第二根保險絲了。
02:10
If it were a 30 second fuse,
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如果它是一根三十秒的保險絲,
02:12
you’d be able to use that same trick again
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你就可以故技重施,
02:14
to double the burning speed and make it last exactly 15 seconds.
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讓燃燒速度變成兩倍, 在十五秒時讓它燒盡。
02:19
And, you realize, you can shorten the second fuse
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你知道,你可以 把第二根保險絲縮短,
02:22
by lighting one end of it at the same time as you light the first.
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只要在你點燃第一根保險絲時 同時點燃第二根的一端即可。
02:27
At the moment the first burns out,
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在第一根保險絲燒盡時,
02:29
you’ll be left with 30 seconds on the second fuse.
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你的第二根保險絲就會 剩下剛好三十秒的長度。
02:33
Just when you’ve got this all figured out,
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就在你把這一切都想通之際,
02:35
you see the signal from your partner,
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你看到你的夥伴向你 打信號,立刻採取行動。
02:37
and spring into action.
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02:38
You gather the four ends of the two fuses and light three of them.
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你把兩根保險絲的四端 集合在一起,點燃其中三端。
02:43
The moment the first burns out,
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在第一根保險絲燒盡時,
02:44
you light the other end of the second fuse.
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你立刻把第二根保險絲的 另一端也點燃。
02:47
When it flickers and dies,
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當火光搖曳,最後消失,
02:49
you know that exactly 45 seconds have passed,
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你就知道四十五秒過去了,
02:52
and the electric fence is dead.
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通電的柵欄現在停止運作了。
02:55
By the time it hiccups back to life,
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在它重新恢復供電時,
02:57
you’re over the fence and home free.
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你已經越過柵欄, 自由自在地返家。
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