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Mow Off is a weekly puzzle in Professor Layton and the Last Specter.


PuzzleEdit

Three students work part-time mowing lawns. Experienced student A can cut the grass on one lawn in 12 minutes. Strong student B can mow one in 18 minutes. And lazy student C takes 36 minutes to finish mowing a lawn.

How long would it take them if they worked together to cut a single lawn?

HintsEdit




Click a Tab to reveal the Hint.

Try adding together fractions. In a minute, student A can mow a twelvth, B will mox an eighteenth, and C can do a thirty-sixth of a lawn. Adding these fractions together gives 6/36 or 1/6. If they can mow a sixth of a lawn in a minute, then...


SolutionEdit

IncorrectEdit

Too bad!

Try working it out again.

CorrectEdit

You're sharp! Six minutes is correct.

Calculate how much of a lawn each can mow in one minute. Student A mows one twelfth, student B one eighteenth, and student C one thirty-sixth of a lawn in one minute.

Adding these fractions together with the highest denominator makes 6/36 or 1/6. Therefore, if they can mow a sixth of a lawn in one minute, they will take just six minutes to mow a whole lawn!

LSW14S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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