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Today Puzzle #728

Puzzle No. 728 – Wednesday 29 April 2020

Farmer Green owns a pasture with sufficient grass on it to feed a cow, a horse and a sheep together for 10 days. Alternatively the pasture could feed a cow and a horse together for 20 days. How long could it sustain the sheep alone?

Today’s #PuzzleForToday has been set by Dr Steve Humble, Newcastle University

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Details of a possible solution.

The pasture could sustain the sheep for 20 days

(1/C) + (1/H) + (1/S) = (1/10)

(1/C) + (1/H) = (1/20)

Subtracting these two equations gives (1/S) = (1/10) – (1/20) = (1/20)

Hence the pasture could sustain the sheep for 20 days

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