← | 018 - The Shoe Maze | 019 - The Train Ride | 020 - The Shoe Store Thief | → |
The Train Ride (The Train Journey in the UK version) is a puzzle in Professor Layton and the Diabolical Box.
Puzzle
- US Version
An unknown number of people are riding a train. At the first station the train pulls into, 1/6 of the people on board get off. At the next station, 1/5 of the remaining passengers get off. This pattern continues so that at the next stations 1/4 get off, then 1/3, and then 1/2. Then, at the final station, all passengers remaining on the train exit as well.
Assuming no one got on the train during the ride, what is the fewest number of people that could have been riding on the train when it set out?
- UK Version
A number of people are on a train. At the first station the train pulls into, 1/6 of the people on board get off. At the next station, 1/5 of the remaining passengers get off. This pattern continues so that at the next station 1/4 get off, then 1/3 and then 1/2. Then, at the final station, all remaining passengers get off the train.
Assuming no one got on the train during the journey, what is the lowest number of people who could have been on the train when it set out?
Hints
Solution
Incorrect
Too bad!
- US Version
Think hard about the clues you've been given and try again. This puzzle comes together quite easily once you realize a certain simple principle.
- UK Version
Think hard about the information you've been given and try again. This puzzle comes together quite easily once you realise a certain simple principle.
Correct
Good work!
- US Version
If you assume the train started out with six passengers, then only one person would have to get off at each station. This puzzle can be really tough if you don't remember to reduce the number of people remaining on the train at each station along the way.
- UK Version
If you assume the train started out with six passengers, then only one person would have to get off at each station.
This puzzle can be really tough if you don't remember to reduce the number of people remaining on the train at each station along the way.
Trivia
In this puzzle, the UK version removes the "!" mark for the number "0" in the solution screen.
Professor Layton and the Diabolical Box | Puzzles in||
---|---|---|
Normal |
| |
Weekly | See here for weekly puzzles. | |
Hidden Door | ||
Puzzle Index: CV · DB · UF · LS · MM · AL · VS |