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Harder Mathematical Problems

Green Green Grass ★★ 

Farmer Bob owns a piece of grassland and three animals: a cow, a goat, and a goose. Bob discovered the following:

  • When the cow and the goat graze on the field together, there is no more grass after 45 days.
  • When the cow and the goose graze on the field together, there is no more grass after 60 days.
  • When the cow grazes on the field alone, there is no more grass after 90 days.
  • When the goat and the goose graze on the field together, there is no more grass after 90 days also.

The question: For how long can the three animals graze on the field together?

A hint : Click here!

The answer: Click here!

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