# Can you solve the airplane riddle? – Judd A. Schorr

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.

1:45 average CVS receipt size.

1:39 if normal planes run out of fuel, they won't crash they will just glide to the ground. Unless they are above water of course

easy, before the trip build robots that drive their own planes then tell them to give all their fuel to the professor so only the robot dies

This riddle is relatively easy compared to others on Ted Ed,which I doubt I could figure out even in a lifetime.

You can do it with smaller fuel tanks. If the support planes more time ferrying fuel out you could support the solo plane for a larger distance

My favorite video from Ted Ed

Next question would be : What is the smallest tank that allows to do a round the globe journey using not 3 but 4 planes ? 2 planes ? n planes ? What happens when n goes toward infinity ? (I find this last result surprising, would be happy to discuss it.)

Here's a far better solution: deconstruct the other two planes and put their fuel tanks into the professor's plane.

Yea, that food problem needs fixing

Why not just have one assistant stay and have the other refuel the prof at 1/4 of the way then fly back. Then the prof flies around and meets the other assistant at 3/4 of the way where she refuels him and then heads back with him to the airport?

Solution:

Bring extra gas

Oh no, I overslept.professor fuk*no offence*You didn't say they could refuel, this changes things.

So it's not a riddle it's a math problem.

It would be easier to make a bigger fuel storage than created 3 planes

I did in another way. let's give the plane numbers 1,2 and 3. Where 1 is the main guy. So planes 1 and 2 leave the airport at the same time. They both reach 1/4 of the earth. That's when 2 gives half of his fuel to 1 and changes the direction and starts going back to the airport. But he can only make it to 1/8 marker of the earth. That's when he meets 3 and they refill go back. 1 can make it to the 3/4 mark of the earth. That's when they use the same strategy to make it back.

Apparently you would have to travel a little above mach 5.4 to go this fast, Which is only possible by the X-15 currently.

I would install a room in the original plane for another full gas tank or use another plane..

How about just make an extra fuel plane

And the weight of the fuel and container

I figured it out

Don’t do anything and wait 24 hours

I just had them fly together filling each other’s fuel tanks in a constant cycle

I loveeee the art and animation 👍🙃🙂

No wonders why they are so smart ! THEY ARE ALL ASIAN !😂😂

This is a terrible riddle, I get the solution and the question, it just doesn't make sense to even have this riddle exist, its not clever or interesting; just there.

bring some fuel on the plane…~~duh~~1. Earth is flat

2. When you displayed 14:15 it would be uncorrect due to the time zones

Also, if this guy can fly around the world faster than it spins, he wouldn't age

I can't believe it's my first riddle on this channel that i actually solved 😎

this is the first one I actually took time to think through and what would you know, I made it

Good riddle 🙂

I found AN EVEN BETTER solution wherein the end they will have 10 kilolitres to SPARE!!! First they all three fly at the same time to the left, after 60 minutes, Orokana gives 60 kilolitres to the professor and flies back to the landing. After 20 minutes, Fugori gives 20 litres to the professor and flies back to the landing, after 40 minutes Orokana lands and completely refuels. After another 40 minutes Fugori lands and completely refuels, immediately after that Orokana and Fugori fly to the right. After 60 minutes Orokana gives 60 kilolitres to Fugori and Orokana flies back to the landing. After 40 minutes Fugori and the professor meet and Fugori gives 60 kilolitres to the professor. After 20 minutes Orokana lands and completely refuels immediately after that flies to the right. After 40 minutes Orokana meets them and gives 54 kilolitres to the professor and 33 kilolitres to Fugori. Now they all safely head back to the landing with all three of them, 13 or 14 kilolitres to spare!!!!

Nah dude their is another way

I figured out: The professor needs 90 more liters of fuel

We can put 1 plane to fly 90 degrees left along with the professor and transfer 90 liters of fuel and the other one will fly 90 degrees right to meet the professor givind him 90 liters of fuel.

This guy did 9/11

Its a trap the earth is flat

I did it by myself for probably the first time

The planes are 6666 kmh fast

How can you listening to music while flying in a lowdly engine sound of the planes dum dum?

3:03 So that meant a refuel would take 45 mins xD

(14:15 to 15:00)

marvel

4:14 that's the lesson of the riddle

Solution: Hair, 1:47

Can't I just gain altitude like how a bird dives down to gain speed then go up again?

Or is this plane wingless??

I have a different and simple solution.

This reminds me of fast and furious 😄💯

False, He would be out of fuel as they meet causing him to crash.

The animation here is adorable.

multiple solutions to this, should have added the criteria to use the minimal refueling/transfer for the most optimum solution

I found a different Solution actually… A little more complicated…

So instead of adding a bigger fuel gage which probably would take a couple of days this man was just like imma make 3 extra ones which would take 3x the amount of time🤔

This is great, could solve this one, after like 3 or 4 ridles i coudnt find the answer. Very gratifying.

emila earhart tried this but failed miserably

I figured it out but in a differnt way. Let me explain, also I will use the amount of fuel they have in % instead of using the exact amount like shown in the video to make it easier.

We know that all of your fuel will take you to just the other side of the planet and you can only land on one spot which is the airport you started from.

To accomplish this task ive decided to devide the whole trip around the globe into 10 sections. Every section is exactly 36 degree of longitude (One tenth of the whole trip).

Due to our understanding that half the trip will take up 100% of our fuel we can safely assume that every section will take up 20% of our fuel.

So basically. 36 deegres of longitude = 1 section = 20% fuel.

Now to the actual flight we will (just like in the video) fly every plane west. But instead of stopping at 1/8 (or 1.25 sections) of the total flight you will now stop at 1/5 or exactly 2 section. All the planes should now have 60% of their fuel left and has all used 40% of their fuel to get there. Plane 2 and 3 will now transfer 20% of their fuel to plane 1 (each) which will put plane 1 at 100% fuel while the other planes will have 40% each. The second and third plane will now have exactly enough to fly back to the airport to refuel for their next mission. Meanwhile plane 1 will have just enough fuel after the refuel to go 180 degrees of longitude plus the 72 it has already travelled which puts the total at 252 degrees of longitude or in more simple terms, 7 sections.

Meanwhile, plane 2 and 3 has refueled at the airport and plane 2 has gone 3 sections or 108 defrees longitude and has now reached plane 1. With the remaing 40% they split it even and can now go one more section. Meanwhile plane nr 3 has also gone east and meets up with plane 1 and 2 and they all split the fuel to get 20% each. With this fuel they all aim for the airport and they all crash in the pacific, 18 degrees of longitude from their destination and Fukanōs dreams were crushed and yes I just made you read all that and yes I thought it would work while writing it.

1st to engineer a working prototype.

Can you solve this riddle?

Oh Fuk-a-no!

WHY THE FLIP ARE THEIR MOUTHS SQUARE

fukano! I know u want fun, but u almost died to do it, pathetic

Fukanou should not have that name of his. In Japanese means impressive

1:30, if they can fly that fast go for it!

I just had orokana give all her fuel to the professor at the 90° mark

Never ever change your narrator

Plot Twist: Fugori and Orokana continue feeding fuel into the professor, who can't do anything except give fuel back, crashlanding them all into the ocean.

I got it correct

Objection: you didn't say that a plane can reful two other planes at the same time.

You said they can DIME (PAIR)…….

the planes crashes by

A HAIROr until they build bigger fuel tanks

Easy!!! Im on fireeeeee 😎😎😎 and with an even better solution!!

This vid is proof that the 🌍 is not flat

That solution is not unique

Pretty convenient the only airport that permitted them to do this is on the equator

What about the time difference?

Ya'll can dig on Fukano for not being able to make more fuel but this man literally made a plane that can move halfway around the world in 1 hour

There is a much simpler solution.1 and 2 plane goes 1 quarter.2 refill 1 and fly back. 1 goes until 3 quarter. 3 met 1 at 3 quarter and refill and go back. TADAA

Let's be honest. The professor probably could have designed the plane to hold more fuel, but he wants to save as much of his budget as he can so he can pay back his loans to the companies that lent the money to make this possible.

Edit (CORRECT ME IF I AM WRONG ON ANY BIT):Apparently after doing some math, if the planes can travel one degree longitude per minute (111.3 km), and if 111.3 km ÷ 60 seconds = the speed of 1.855 km per second, this would make the planes 5 times faster than the speed of sound (343 meters per second), therefore Fukano putting on his favorite album won't do anything, since music is sound, and he's going faster than it. Also, a comment by Sarah Mechem stated that the professors would die from massive g-force, and that's true, when Princess Diana died in a car crash, she had a g-force of 70g on her chest and 100g on her head, and, if a 1g acceleration is about 0.00972222… km/s, all of them if they were to turn would suffer a force of 190.8g, which would probably kill them, possibly mutilating them! Basically, the assistants could help fuel the professor for the beginning parts, but they'd both die no matter what would happen, and the task would be rendered impossible unless they were programmed to coordinate and autopilot. At 12:45pm, Orokana's g-force suffrage after turning would send her plummeting towards the sea. The same happens to Fugori at 1:30pm (he could land in one of the Indonesian islands, as shown on the map). The professor would be all alone at this point, and at 4:30pm, he'd plummet towards the Amazon rainforest of Brazil, where he could possibly initiate a crash landing, but even assuming he lives, he'd likely never be heard from again, with the poisonous native wildlife in the area and the vastness of the rainforest, and if unlucky enough, he could be picked off by an uncontacted tribe. In conclusion… pretty much a suicide mission. I smarts! (TL;DR planes go faster than the speed of sound, professor's assistants die of massive g-force, task is rendered impossible as the professor would crash in the amazon rainforest)I thought the meal at the end was poop

Ask tee if eff is the one on the left

Plot twist : They fly at 400 m and hit the Burj Khalifa

Why noon and west

Doesn’t orokana look like Dora?

I think I got simple solution than this.

1stly boy assistant and professor will travel 45 then boy assistant gives 90fuel to professor and with remining fuel he goes back.

So initially professor is having 135 and now 90 is added so he can travel 225 and reaches to 275 degree.

Then the boy and girl assistant will travel 45 in opposite direction and boy will return giving girl 90 fuel and now girl is having 225.then the girl assistant meet the professor with 180 fuel gives 90 to him and 90 keeps near her and both will come to initial position.

0:42 Fun? FUN!? YOU THINK RUNNING OUT OF FUEL QUALIFIES AS FUN?!

Imagine if you believe in the flat earth

I think I found another way no troll. Prof and another plane travel 80 degrees together, at which point the plane gives the prof 80 fuel, leaving 20 for himself. When he returns back 20 degrees (at the 60 degree mark) the second plane is there to meet him and splits the remaining fuel. The second plane uses 60 to meet him, then they split the remaining 60 each to travel back.

Meanwhile the prof has enough fuel to get to 260 degrees. This is precisely the same time (100 minutes) the refuel plane will need to meet him on the other side. So they both set out again and one refuels the other at -60 degrees (300) and returns. The other reaches the professor at 260 degrees with 140 of fuel left and splits the remaining fuel (70 each). This is more than enough time for the first refuel plane to come back and meet them at 330 degrees to refuel them both and reach home safely.

Did I mess up somewhere? I haven't seen this solution anywhere in the comments

You can easily do it with 2 planes

Can’t planes 1 and 2 depart together, and then a quarter of the way there 2 gives his fuel to 1, then crashes and dies, and then when 1 is halfway there, 3 takes off, then 3/4 of the way there tree gives here fuel to 1 and crashes and dies.

Tell me how Professor Fukano's food was the one to get spilled even though he's the one that went straight the whole time

Wait…i just relize that this is not so hard XD

What a way to pollute

What does r/woosh mean?

this is too easy have two planes go and share the same fuel tank

Here's another way to solve the riddle!

Don't

mess

with

fricking

planes!

So….. Japanese Elon Musk?

Oh my I actually got it right!!! Anyone who've figured it out before the ans?

I think I broke my brain trying to understand this

I had to keep on starting it over to understand it

… I’m taking it those planes coast like a champ, right?

Solution: hire a tanker plane to refuel mid air whenever fuel is low. This answer is valid since you did not specify a private air tanker cound not be used in the rules.

i have done it bit different way

all three planes start at 0 time

we call

professor as 1

and lady plane 2

and other assistant 3

now at 45 degree 1 and 2 will be fulled by 3 and he will return to base at time 90

while 1 and 2 will be at 90 degree

at 110 degree 1 and 2 tank will have 115 liters of fuel each. 2 will full the tank of 1 and will have 50 liter left in her tank. time is 110 at time 100 3 has already taken off from base with full tank and will meet at 60 degree with number 2 and will give her half of the fuel both will have 60 liters at 60 degree and they both will reach base at 220 mins while plane 1 will be on 220 degree mark with 70 liters left now at 220 min 2 will take off base with full tank while 3 will take off after 35 mins, 2 will meet 1 at 290 when 1 has 0 fuel 2 will give 35 liters of fuel to 1 and he will have 75 liters of enough to reach base. at 325 degree plane 3 will meet 1 and he will provide 35 liters of fuel to 1 to reach base. all 3 plane will land at safely at base kudos.

Better way is that

the professor design enough long Pipe which is connected to the fuel tank and the plane at all time, it just keeps continues fuel to the plane but the pipe has to be long enough to go around the world.

Tip: Fukanō (Fukanou) means impossible in Japanese