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

翻译人员: Sunny Wu 校对人员: Yulin Li

Professor Fukanō, the famous eccentric scientist and adventurer,

著名的古怪科学家和探险家Fukanō教授

has embarked on a new challenge:

开始了一项新的挑战

flying around the world nonstop in a plane of his own design.

用他自己设计的飞机进行一次环绕世界的无停靠飞行

Able to travel consistently at the incredible speed of one degree longitude

这架飞机能够持续以每分钟飞过每一经度的高速

around the equator per minute,

沿着赤道飞行

the plane would take six hours to circle the world.

只需要6小时就可以环绕世界一周

There's just one problem:

只有一个问题需要克服：

飞机只能携带18万升的燃料

the plane can only hold 180 kiloliters of fuel,

only enough for exactly half the journey.

这个量只够完成一半旅程

Let's be honest.

所以还是现实点吧

The professor probably could have designed the plane to hold more fuel,

教授或许可以设计一种能携带更多燃料的飞机

but where's the fun in that?

但那就没意思了

Instead, he's devised a slightly more elaborate solution:

相反，他想出了一种更烧脑的解决方案

building three identical planes for the mission.

为这项任务建造三架一模一样的飞机

In addition to their speed,

除了高速之外，

教授还给它们装备了其他绝妙的功能

the professor's equipped them with a few other incredible features.

Each of the planes can turn on a dime

每一个飞机能够在很小的空间里转弯

并立刻把任意量的燃料 转移到在空中的其它飞机内

and instantly transfer any amount of its fuel to any of the others in midair

且不需要减速

without slowing down,

provided they're next to each other.

只要他们相邻而飞

The professor will pilot the first plane,

教授驾驶第一架飞机

while his two assistants Fugōri and Orokana will pilot each of the others.

他的两个助手Fugōri和Orokana分别驾驶另外两架飞机

However, only one airport, located on the equator,

然而，只有一个赤道上的机场

has granted permission for the experiment,

许可了这项实验

making it the starting point,

以机场为起点

终点

the finish line,

and the only spot where the planes can land,

以及飞机降落

takeoff,

起飞

or refuel on the ground.

和地面加油的唯一地点

How should the three planes coordinate

这三架飞机应该如何配合

so the professor can fly continuously for the whole trip and achieve his dream

才能使教授在每一架飞机 都不会耗尽燃料或坠毁的情况下

without anyone running out of fuel and crashing?

持续飞行完全程以实现他的梦想呢？

Pause here if you want to figure it out for yourself.

如果您需要浏览本页，请暂停

Answer in: 3

答案：3

Answer in: 2

答案：2

Answer in: 1

答案：1

根据教授的计算

According to the professor's calculations,

they should be able to pull it off by a hair.

他们应该可以勉强完成这个任务

关键就在于把每个助手的助力最大化

The key is to maximize the support each assistant provides,

不浪费每一升燃料

not wasting a single kiloliter of fuel.

It also helps us to think symmetrically

对称地思考这段旅程可以帮助我们理解

so they can make shorter trips in either direction

他们可以从起点的两个方向进行短途飞行

while setting the professor up for a long unsupported stretch in the middle.

同时让教授从中途开始进行无供给的长途飞行

Here's his solution.

解决方案是这样的

All three planes take off at noon flying west,

三架飞机都在正午起飞向西飞行

每架飞机装载18万升燃料

each fully loaded with 180 kiloliters.

After 45 minutes, or one-eighth of the way around,

45分钟后，也就是1/8的行程后

each plane has 135 kiloliters left.

每架飞机剩13.5万升燃料

Orokana gives 45 to the professor and 45 to Fugōri,

Orokana给教授和Fugōri分别输送了4.5万升

fully refueling them both.

使他们的飞机加满油

With her remaining 45, Orokana returns to the airport

Orokana用她余下的4.5万升返回机场

and heads to the lounge for a well-deserved break.

并到休息室好好休息一番

45 minutes later, with one-quarter of the trip complete,

45分钟后，1/4的行程飞完

the professor and Fugōri are both at 135 kiloliters again.

教授和Fugōri的燃料又都剩下13.5万升

Fugōri给教授传输了4.5万升

Fugōri transfers 45 into the professor's tank,

leaving himself with the 90 he needs to return.

给自己留下9万升用来返回机场

Professor Fukanō stretches and puts on his favorite album.

Fukanō教授可以伸伸懒腰听听音乐了

He'll be alone for a while.

他要自己度过接下来的一段时间

In the meantime, Orokana has been anxiously awaiting Fugōri's return,

与此同时， Orokana正焦急地等Fugōri回来

her plane fully refueled and ready to go.

她的飞机已经加满油并准备出发了

As soon as his plane touches the ground, she takes off, this time flying east.

Fugōri的飞机降落的同时，她立刻起飞，这次向东飞行

At this point, exactly 180 minutes have passed

到目前为止，已经过去了180分钟

教授正好完成了一半的旅程

and the professor is at the halfway point of his journey

with 90 kiloliters of fuel left.

还剩下9万升燃料

来完成接下来90分钟的飞行

For the next 90 minutes,

the professor and Orokana's planes fly towards each other,

教授和Orokana的飞机相对而飞

meeting at the three-quarter mark.

在行程的四分之三处相遇

Just as the professor's fuel is about the run out,

就在教授的燃料将要耗尽时

he sees Orokana's plane.

他看到了Orokana的飞机

She gives him 45 kiloliters of her remaining 90,

Orokana从余下的9万升燃料中给了教授4.5千升

leaving them with 45 each.

让两架飞机都有4.5万升

But that's just half of what they need to make it to the airport.

但这只够完成接下来的半程

幸运的是，这时Fugōri已经加好油起飞了

Fortunately, this is exactly when Fugōri, having refueled, takes off.

45 minutes later, just as the other two planes are about to run empty,

45分钟后，就在另两架飞机燃料要耗尽时

he meets them at the 315 degree point

Fugōri在315度处遇见了他们

and transfers 45 kiloliters of fuel to each, leaving 45 for himself.

并给他们分别传输了4.5万升，给自己留下4.5万升

All three planes land at the airport just as their fuel gauges reach zero.

三架飞机在机场降落时，燃料正好耗尽

As the reporters and photographers cheer,

记者们和摄影师们开始欢呼

教授承诺他的飞机很快会作为商用航班投入使用

the professor promises his planes will soon be available for commercial flights,

just as soon as they figure out how to keep their inflight meals

只需等他们研究出怎么样在飞机上用餐 才不会撒得到处都是

from spilling everywhere.

就是时候了！