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Racetrack Riddle is a puzzle in Professor Layton and the Curious Village.

Puzzle

The distance three racehorses can run around the racetrack in one minute is listed below.

Horse A: Two laps.
Horse B: Three laps.
Horse C: Four laps.

The horses line up at the starting line and start running in the same direction. How many minutes will pass before all three horses line up at the starting line again?

Hints




Click a Tab to reveal the Hint.

Someone in a hurry might jump to the conclusion that you need to find the lowest common multiple between the three numbers.

Read the problem over again and see if you can't clear things up for yourself.

The three horses each run at different speeds. To measure the horses' speeds, the problem tells you how many laps each horse can do in one minute.

The horses all run whole laps per minute, so at least you don't have to deal with strange speeds.

One horse runs two laps in one minute, one runs three laps in one minute, and one runs four laps in one minute.

Where will the horses be one minute after they start running?


Solution

Incorrect

Too bad!

Don't bother with complicated calculations.

Correct

You got it!

In one minute, horse A will have done two laps, horse B will have done three laps, horse C will have done four laps, and all the horses will be lined up at the starting line.

CV031S

A big thanks to http://professorlaytonwalkthrough.blogspot.com