Henry Ernest Dudeney/Puzzles and Curious Problems/164 - Cow, Goat and Goose
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Puzzles and Curious Problems by Henry Ernest Dudeney: $164$
- Cow, Goat and Goose
- A farmer found
- that his cow and goat would eat all the grass in a certain field in $45$ days,
- that the cow and the goose would eat it in $60$ days,
- but that it would take the goat and the goose $90$ days to eat it down.
- Now, if he had turned cow, goat and goose into the field together, how long would it have taken them to eat all the grass?
- Sir Isaac Newton showed us how to solve a puzzle of this kind with the grass growing all the time;
- but, for the sake of greater simplicity, we will assume that the season and conditions were such that the grass was not growing.
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Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $164$. -- Cow, Goat and Goose
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $231$. Cow, Goat and Goose