The Lost Hat is a puzzle in Professor Layton and the Curious Village.


A river moves at a pace of 1,000 feet per hour, and upon that river floats a long gondola. At precisely high noon, a passenger on the gondola turns around to collect the hat exactly 100 feet downstream from it. This particular gondola moves at a speed of 20 feet per minute in still water.

How many minutes will it take the gondola to meet up with the top hat from the time the hat hit the water?


Click a Tab to reveal the Hint.

The river moves at the same speed for all objects floating upon it and affects both the hat and gondola in the exact same way.




It looks like someone might be buying a new top hat today.


The hat will be recovered at 12:10.

Since both the hat and gondola are moving the same way on the same river, the river flow effects both items the same way, effectively allowing the gondola to travel the same speed as if it were in still water.

The gondola traveled 100 feet from the hat before turning back to retrieve it. This means the boat traveled 200 feet before picking up the fallen hat. Since the boat moves at a speed of 20 feet per minute, the total time needed is 10 minutes.



In the Japanese version, this puzzle is listed as Weekly Puzzle 17.

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