【Haichuan Teahouse】Brain-teasing Series: How Far Can the Caravan Go
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This post was last edited by Desert Fish on 2021-10-28 at 13:15. There is a convoy of 10 motorcycles, each fully fueled and capable of traveling 100 kilometers. How far can this convoy travel in total, even if only one motorcycle remains in the end?
Can I use an email address? Can it use fuel from another car?
The fuel tank cannot be kept; the remaining fuel can be drained and used by other vehicles.
This is on par with aerial refueling planes
Ten cars set off together to run 50 kilometers. The fuel from five of the cars is given to the other five, allowing those five to continue running for 60 kilometers. The fuel from three of those cars is then given to two others, enabling those two to run another 50 kilometers. The fuel from one car is given to the remaining car, which can then run an additional 100 kilometers. In total, they can travel up to 260 kilometers
In practice, one vehicle pulling 9 other vehicles, with vehicles being refueled and removed one by one, allows it to travel further. . . . . .
Ten cars set off together to run 20 kilometers. The fuel from 2 cars is given to the other 8 cars; those 8 cars then run another 50 kilometers. The fuel from 4 of those cars is given to the remaining 4 cars, who then run another 50 kilometers. The fuel from 2 of those cars is given to the other 2 cars, and those 2 cars run another 50 kilometers. Finally, the fuel from 1 car is given to the other car, allowing that last car to run an additional 100 kilometers. In total, they can travel up to 270 kilometers
In this way, the first vehicle covers 10 kilometers and is discarded, while the second vehicle covers 11 kilometers. Discard: the third vehicle at 12.5 kilometers; the fourth vehicle at 14.4 kilometers. Discard the fifth vehicle at 16.7 kilometers; discard the sixth vehicle at 20 kilometers; discard the seventh vehicle at 25 kilometers; discard the eighth vehicle at 33 kilometers; discard the ninth vehicle at 50 kilometers; discard the tenth vehicle at 100 kilometers. Beyond 290 kilometers