Algebra · Linear systems · Word problems · Rates

Problem 4, 2008

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CityOpen answer

It is known that \(60\) cows would eat all the grass in a meadow in \(24\) days, and that \(30\) cows would eat all of it in \(60\) days. Every day the same amount of new grass grows on the meadow.

(a) How many cows would eat all the grass in \(100\) days?

(b) In how many days would \(10\) cows eat all the grass?

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Serbian Municipal Competition 2008, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source