top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

What is the smallest number of airplanes needed to ensure the complete flight of one plane around the world?

+2 votes
244 views

There are a group of airplanes on an island. The tank of each airplane contains just enough fuel to fly halfway around the world. Any amount of fuel can be transferred from one plane to another while in the air. The only fuel source is on the island. It is assumed that all planes burn fuel at the same rate and fly at the same speed.
What is the smallest number of airplanes needed to ensure the complete flight of one plane around the world?
All planes should return safely to the island.

posted Jul 16, 2019 by Prithvi

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer (Check Answer ▼)





Similar Puzzles
0 votes

There is an air base on the equator. The maximum amount of fuel that a plane can contain would be only sufficient for it to fly halfway around the world.

For at least one plane to finish a trip around the world, how many planes do you need at least?

Share your answer with detail explanation...

A trip around the world!
Logic Level 3

There is an air base on the equator. The maximum amount of fuel that a plane can contain would be only sufficient for it to fly halfway around the world.

For at least one plane to finish a trip around the world, how many planes do you need at least?

Details and assumptions:
Same plane doesn't depart twice or more.
The airplanes can use their fuel until it's empty. Starting the airplane doesn't take any time.
Every plane moves at the same speed, and on the same airway.
Assume the planes and air base are dimensionless, and thus, can turn directions instantly.
The plane can only be fueled via aerial refueling, and the amount of time the process takes is negligible.
Every plane starts at the air base and must return to the air base.

0 votes

The puzzle question is : On Bagshot Island, there is an airport. The airport is the home-base of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?
Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes.
What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)

+1 vote

You have 64 numbers. What is the least number of comparison needed to find the 2nd smallest out of them?

0 votes

I was taking a plane to China and almost missed my flight. On my way to the terminal there were 7 other girls walking in the opposite direction. Each of these girls had 8 purses and each purse had 2 dogs.

How many in all were on the plane?

...