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Back and Forth (How Long? in the UK version) is a puzzle in Professor Layton and the Unwound Future.
Puzzle
- US Version
The travelers shown below are an hour away from their destination. Twelve people are divided into two cars (that each seat six people), but one of the cars just broke down, leaving only one vehicle for the rest of the trip.
Using just the one car to drive back and forth, how many hours will it take to get everyone to the destination?
- UK Version
From here, a one-way trip your destination takes an hour. The plan for the trip was to divide 12 people into two six-seater cars, but one of the cars broke down, so you can only use the other one.
Assuming that the journey back takes the same amount of time as the journey there, how many hours will it take to get all 12 people to your destination using one car?
Hints
Solution
Incorrect
- US Version
Too bad!
Don't overlook anything...
- UK Version
Too bad.
Are you sure you're not overlooking a crucial point?
Correct
- US Version
Correct!
It will take five hours.
Even though six people can ride at once, somebody needs to drive the car back to where the others are waiting, so it will require three trips to get all 12 people to the destination.
- UK Version
Car-rect!
Five hours.
The car always needs a driver in order to make the trip back. As such, it will take two round trips and one-way trip for all 12 people to reach the destination.
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