Can you solve the airplane riddle? - Judd A. Schorr

6,836,002 views ・ 2016-12-01

TED-Ed


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譯者: Xiang Lei- 審譯者: 瑞文Eleven 林Lim
00:07
Professor Fukanō, the famous eccentric scientist and adventurer,
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深野(不可能)教授 著名的古怪科學家和冒險家
00:11
has embarked on a new challenge:
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開始了一個新的挑戰:
00:13
flying around the world nonstop in a plane of his own design.
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用他自己設計的飛機 在世界不停的飛來飛去
00:17
Able to travel consistently at the incredible speed of one degree longitude
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以難以置信的速度 每分鐘繞赤道經度一度
00:22
around the equator per minute,
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持續飛行
00:24
the plane would take six hours to circle the world.
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該飛機只需要六個小時 就可以環繞世界一周
00:28
There's just one problem:
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只有一個問題:
00:30
the plane can only hold 180 kiloliters of fuel,
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飛機只能容納 180 公秉的燃料
00:34
only enough for exactly half the journey.
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只夠飛地球半圈
00:37
Let's be honest.
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說實話
00:38
The professor probably could have designed the plane to hold more fuel,
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教授可能會設計 能承載更多燃料的飛機
00:41
but where's the fun in that?
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但如此有何樂趣?
00:43
Instead, he's devised a slightly more elaborate solution:
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相反的,他精心設計了 一個解決方案:
00:47
building three identical planes for the mission.
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為了完成任務 他建造了三架相同的飛機
00:51
In addition to their speed,
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除了它們的速度
00:53
the professor's equipped them with a few other incredible features.
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教授讓它們具備 令人難以置信的功能
00:56
Each of the planes can turn on a dime
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每架飛機都可以在空中突然轉向
00:59
and instantly transfer any amount of its fuel to any of the others in midair
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還可以伸出油管 將飛機的燃料給其他人
01:04
without slowing down,
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並且沒有減速
01:05
provided they're next to each other.
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只要它們彼此相鄰並行
01:07
The professor will pilot the first plane,
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教授將駕駛一號飛機
01:09
while his two assistants Fugōri and Orokana will pilot each of the others.
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而他的兩個助手傅葛利(不合理) 和奧羅卡納(愚人)
將駕駛二跟三號飛機
01:14
However, only one airport, located on the equator,
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但是,只有一個機場准予實驗機起降
01:18
has granted permission for the experiment,
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並位於赤道
01:20
making it the starting point,
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使其成為起點和終點
01:22
the finish line,
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01:23
and the only spot where the planes can land,
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是唯一飛機可以著陸
01:25
takeoff,
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起飛
01:26
or refuel on the ground.
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或在地面加油的地方
01:28
How should the three planes coordinate
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如何使三架飛機相互協調
01:30
so the professor can fly continuously for the whole trip and achieve his dream
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使教授可以完成整趟旅行 實現他的夢想
01:35
without anyone running out of fuel and crashing?
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且沒有人燃料用盡或墜機?
01:38
Pause here if you want to figure it out for yourself.
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如果你想自己找出來答案,請暫停
01:42
Answer in: 3
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3
01:43
Answer in: 2
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2
01:44
Answer in: 1
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1
01:46
According to the professor's calculations,
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根據教授的計算
01:48
they should be able to pull it off by a hair.
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他們可以很驚險地完成任務
01:51
The key is to maximize the support each assistant provides,
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關鍵是助手得協助提供適量的燃料
01:55
not wasting a single kiloliter of fuel.
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並避免油量過少而墜機
01:58
It also helps us to think symmetrically
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它也幫助我們對稱思考
02:01
so they can make shorter trips in either direction
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所以他們在任一方向 都可以做較短的旅行
02:03
while setting the professor up for a long unsupported stretch in the middle.
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同時使教授長時間在途中不需幫助
02:08
Here's his solution.
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這是他的解決方案:
02:09
All three planes take off at noon flying west,
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這三架飛機在中午啟程往西邊飛
02:13
each fully loaded with 180 kiloliters.
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每架飛機滿載 180 公秉的燃料
02:16
After 45 minutes, or one-eighth of the way around,
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45 分鐘後,或八分之一的旅程時
02:19
each plane has 135 kiloliters left.
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每架飛機還剩 135 公秉左右
02:23
Orokana gives 45 to the professor and 45 to Fugōri,
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奧羅卡納給了 教授和傅葛利各 45 公秉
02:27
fully refueling them both.
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幫他們加滿油
02:29
With her remaining 45, Orokana returns to the airport
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然後用她的剩餘的 45 公秉返回機場
02:33
and heads to the lounge for a well-deserved break.
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任務完成,前往休息室休息
02:36
45 minutes later, with one-quarter of the trip complete,
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45 分鐘後,有四分之一的旅程完成
02:39
the professor and Fugōri are both at 135 kiloliters again.
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教授和傅葛利的燃料 都剩下 135 公秉
02:45
Fugōri transfers 45 into the professor's tank,
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傅葛利轉移 45 公秉的燃料給教授
02:48
leaving himself with the 90 he needs to return.
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留下自己回去所需的 90 公秉
02:52
Professor Fukanō stretches and puts on his favorite album.
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教授伸個懶腰 播放他最喜歡的專輯音樂
02:55
He'll be alone for a while.
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他會獨處一段時間
02:57
In the meantime, Orokana has been anxiously awaiting Fugōri's return,
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同時,奧羅卡納 焦急地等待傅葛利回來
03:01
her plane fully refueled and ready to go.
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她的飛機已經加滿油,準備出發
03:05
As soon as his plane touches the ground, she takes off, this time flying east.
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一旦他的飛機接觸到地面 她就起飛,這次向東飛
03:10
At this point, exactly 180 minutes have passed
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此時,正好 180 分鐘過去了
03:14
and the professor is at the halfway point of his journey
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而教授位於旅程的中途點
03:17
with 90 kiloliters of fuel left.
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剩下 90 公秉的燃料
03:20
For the next 90 minutes,
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在接下來的 90 分鐘
03:21
the professor and Orokana's planes fly towards each other,
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教授和奧羅卡納的飛機 將飛向彼此
03:24
meeting at the three-quarter mark.
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在四分之三圓處相遇
03:27
Just as the professor's fuel is about the run out,
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教授的燃料快用完了
03:29
he sees Orokana's plane.
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他看到了奧羅卡納的飛機
03:32
She gives him 45 kiloliters of her remaining 90,
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她還剩 90 公秉 然後她給了他 45 公秉
03:35
leaving them with 45 each.
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他們每人各剩下 45 公秉
03:37
But that's just half of what they need to make it to the airport.
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但這只能讓他們到機場 前八分之一圓的地方
03:41
Fortunately, this is exactly when Fugōri, having refueled, takes off.
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幸運的是,這時傅葛利 加完油,起飛了
03:46
45 minutes later, just as the other two planes are about to run empty,
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45 分鐘後,其他兩架 飛機的燃料即將用光
03:51
he meets them at the 315 degree point
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他在圓周八分之七處遇見他們
03:54
and transfers 45 kiloliters of fuel to each, leaving 45 for himself.
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立刻轉移每個人 45 公秉的燃料 並為自己留下 45 公秉
03:59
All three planes land at the airport just as their fuel gauges reach zero.
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三架飛機都降落在機場時 燃料同時也耗盡了
04:04
As the reporters and photographers cheer,
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隨著記者和攝影師的歡呼
04:07
the professor promises his planes will soon be available for commercial flights,
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教授承諾他的飛機 很快就可用於商業航班
04:11
just as soon as they figure out how to keep their inflight meals
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只要他們找出飛行用餐時
04:14
from spilling everywhere.
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食物不會弄髒衣服的方法
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