Can you solve the airplane riddle? - Judd A. Schorr
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Date: 2020-08-22
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Comments and reviews: 7
Jason
They should have told us how long it takes to service the aircraft on the ground. I assumed servicing them was instant and they could have landed, refueled, and taken off instantly. This made sense to me seeing as the pilots apparently could refuel each other in an instant as well as survive the G forces involved in turns being instant as well. As a result I came up with this.
1. The professor and 1 on students leave together going west.
2. 1/3 of the way through their tanks (60 min) the student that flew with him would give the prof half of his remaining fuel (1/3 of the max or 60 minutes) and return the airport.
3. Upon reaching the airport (assuming the student that just returned would be refueled the instant he hit the runway) the two students take off east. (at this point the prof is 2 hrs into his flight and has another 2 hrs of fuel)
4. After both student expend 1/3 (60 minutes worth of fuel) one of the students gives another 60 minutes (1/3 of max) to the other and guns it back to the airfield
5. Take another look at my math and realize it still doesn't work because I forgot to account for the return trip of the 2nd student.
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They should have told us how long it takes to service the aircraft on the ground. I assumed servicing them was instant and they could have landed, refueled, and taken off instantly. This made sense to me seeing as the pilots apparently could refuel each other in an instant as well as survive the G forces involved in turns being instant as well. As a result I came up with this.
1. The professor and 1 on students leave together going west.
2. 1/3 of the way through their tanks (60 min) the student that flew with him would give the prof half of his remaining fuel (1/3 of the max or 60 minutes) and return the airport.
3. Upon reaching the airport (assuming the student that just returned would be refueled the instant he hit the runway) the two students take off east. (at this point the prof is 2 hrs into his flight and has another 2 hrs of fuel)
4. After both student expend 1/3 (60 minutes worth of fuel) one of the students gives another 60 minutes (1/3 of max) to the other and guns it back to the airfield
5. Take another look at my math and realize it still doesn't work because I forgot to account for the return trip of the 2nd student.
reply
deep
There is more efficient way of doing it with 40% less fuel consumption
Professor takes off the airport with Fugori, while Orokana waits at the airport. After exactly 60 minutes when the plane has travelled 60 degrees Fugori transfers 60 Kiloliter of his fuel to Professor and heads back to the airport. The professor now has a tank full of fuel and is sorted for the next 180 degrees. after exactly 180 minutes of professor leaving the airport Orokana takes off to meet the professor from the other end. 60 minutes later he finds professor's plane and transfers 60 kiloliters of fuel enough for both of them to get back to the airport
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There is more efficient way of doing it with 40% less fuel consumption
Professor takes off the airport with Fugori, while Orokana waits at the airport. After exactly 60 minutes when the plane has travelled 60 degrees Fugori transfers 60 Kiloliter of his fuel to Professor and heads back to the airport. The professor now has a tank full of fuel and is sorted for the next 180 degrees. after exactly 180 minutes of professor leaving the airport Orokana takes off to meet the professor from the other end. 60 minutes later he finds professor's plane and transfers 60 kiloliters of fuel enough for both of them to get back to the airport
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Ekin
I figured out another solution before seeing the answer and I'd like to know if anyone else thought the same or if my logic is flawed:
It's the same with the video until the professor is halfway across. Then both assistants take off to the east. 60 degrees later Assistant 1 refuels Assistant 2 back to 180 and flies back to base. Professor and Assistant 2 meet up at 90 degrees, and Assistant 2 spreads the fuel for 75 liters each. When they are 15 degrees away from the base and out of fuel, Assistant 1 comes to the rescue and they make it back to the base.
reply
I figured out another solution before seeing the answer and I'd like to know if anyone else thought the same or if my logic is flawed:
It's the same with the video until the professor is halfway across. Then both assistants take off to the east. 60 degrees later Assistant 1 refuels Assistant 2 back to 180 and flies back to base. Professor and Assistant 2 meet up at 90 degrees, and Assistant 2 spreads the fuel for 75 liters each. When they are 15 degrees away from the base and out of fuel, Assistant 1 comes to the rescue and they make it back to the base.
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Savage
Professor flies, 90 fuel left, so, quarter the way around the world. Then, plane number 2 grants him 90 of his fuel, then he flies 1/2 of the way around. Plane number 3 gives gives him all of his fuel, and then crashes. So does plane number 2. The professor still made it.
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Professor flies, 90 fuel left, so, quarter the way around the world. Then, plane number 2 grants him 90 of his fuel, then he flies 1/2 of the way around. Plane number 3 gives gives him all of his fuel, and then crashes. So does plane number 2. The professor still made it.
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Jojo
So this riddle didn't explain about how long it takes to refuel. Cuz as I am about to clear the riddle with the two partners able to make it back with the Professor at 6/8 of the Earth, I'm thinking about refuel but how long it takes so I thought it's wrong and gave up.
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So this riddle didn't explain about how long it takes to refuel. Cuz as I am about to clear the riddle with the two partners able to make it back with the Professor at 6/8 of the Earth, I'm thinking about refuel but how long it takes so I thought it's wrong and gave up.
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Sahid
The professor's aim was to not waste a single kilolitre of fuel but he and his asstants used 1800 Kilolitres to complete the journey, whereas the professor could have designed his plane to hold 360 Kilolitres of fuel instead. But where's the fun in that!
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The professor's aim was to not waste a single kilolitre of fuel but he and his asstants used 1800 Kilolitres to complete the journey, whereas the professor could have designed his plane to hold 360 Kilolitres of fuel instead. But where's the fun in that!
reply
Token
But don't you think if the professor fly towards East to West direction, it would have taken him less time as the Earth rotates in the direction from West to East with a speed of 4 mins for a longitude?
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But don't you think if the professor fly towards East to West direction, it would have taken him less time as the Earth rotates in the direction from West to East with a speed of 4 mins for a longitude?
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