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  • Professor Fukanō, the famous eccentric scientist and adventurer,

  • has embarked on a new challenge:

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

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

  • around the equator per minute,

  • the plane would take six hours to circle the world.

  • There's just one problem:

  • the plane can only hold 180 kiloliters of fuel,

  • only enough for exactly half the journey.

  • Let's be honest.

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

  • but where's the fun in that?

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

  • building three identical planes for the mission.

  • In addition to their speed,

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

  • Each of the planes can turn on a dime

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

  • without slowing down,

  • provided they're next to each other.

  • The professor will pilot the first plane,

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

  • However, only one airport, located on the equator,

  • has granted permission for the experiment,

  • making it the starting point,

  • the finish line,

  • and the only spot where the planes can land,

  • takeoff,

  • or refuel on the ground.

  • How should the three planes coordinate

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

  • without anyone running out of fuel and crashing?

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

  • Answer in: 3

  • Answer in: 2

  • Answer in: 1

  • According to the professor's calculations,

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

  • The key is to maximize the support each assistant provides,

  • not wasting a single kiloliter of fuel.

  • It also helps us to think symmetrically

  • so they can make shorter trips in either direction

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

  • Here's his solution.

  • All three planes take off at noon flying west,

  • each fully loaded with 180 kiloliters.

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

  • each plane has 135 kiloliters left.

  • Orokana gives 45 to the professor and 45 to Fugōri,

  • fully refueling them both.

  • With her remaining 45, Orokana returns to the airport

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

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

  • the professor and Fugōri are both at 135 kiloliters again.

  • Fugōri transfers 45 into the professor's tank,

  • leaving himself with the 90 he needs to return.

  • Professor Fukanō stretches and puts on his favorite album.

  • He'll be alone for a while.

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

  • her plane fully refueled and ready to go.

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

  • At this point, exactly 180 minutes have passed

  • and the professor is at the halfway point of his journey

  • with 90 kiloliters of fuel left.

  • For the next 90 minutes,

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

  • meeting at the three-quarter mark.

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

  • he sees Orokana's plane.

  • She gives him 45 kiloliters of her remaining 90,

  • leaving them with 45 each.

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

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

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

  • he meets them at the 315 degree point

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

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

  • As the reporters and photographers cheer,

  • 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

  • from spilling everywhere.

Professor Fukanō, the famous eccentric scientist and adventurer,

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B1 中級 中文 美國腔 TED-Ed 飛機 燃油 教授 機場 返回

【TED-Ed】你能解開飛機之謎嗎?- 賈德-A-肖爾 (【TED-Ed】Can you solve the airplane riddle? - Judd A. Schorr)

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    Sh, Gang (Aaron) 發佈於 2021 年 01 月 14 日
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