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Shepherd's Puzzle (2) (Posted on 2004-10-12) Difficulty: 3 of 5
Farmer Joe owns a cow, a goat, and a sheep. The animals each eat grass at a constant rate, and the grass grows at a constant rate. And Farmer Joe occasionally lets them eat the grass on a small pasture of his.
  • If the cow and the goat graze together, the pasture is bare after 45 days.
  • If the cow and the sheep graze together, the pasture is bare after 60 days.
  • If the cow grazes alone, the pasture is bare after 90 days.
  • If the goat and the sheep graze together, the pasture is bare after 90 days, also.
How long will it take for the pasture to be bare if all three animals graze together?

See The Solution Submitted by SilverKnight    
Rating: 3.7500 (8 votes)

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  Subject Author Date
SolutionPuzzle SolutionK Sengupta2007-10-23 06:02:41
solutionsalil2006-02-15 04:07:49
equal ratesOwen2005-05-28 03:43:44
SolutionSolutionAngela2004-12-30 16:43:18
SolutionAnswer In Bales In Lieu of BladesMichael Cottle2004-12-23 04:47:46
Not water in a leaky bowl.bernie2004-10-27 21:30:02
Pouring water into a leaky bowldoremi2004-10-27 13:38:27
re: Non-linear Approachbernie2004-10-25 13:09:02
Non-linear Approachbernie2004-10-23 00:44:58
No All 4 StatementsBruce Brantley2004-10-16 09:23:47
4th StatementBruce Brantley2004-10-16 08:00:03
My GuessBruce Brantley2004-10-16 07:44:05
SolutionJesse2004-10-16 04:11:29
re: SolutionTristan2004-10-15 07:06:05
SolutionWhy "no solution yet" status?ravi2004-10-15 04:15:11
Hints/TipssolutionDetti2004-10-14 23:21:56
Re: SolutuinCol2004-10-13 22:31:38
Some ThoughtsMental Picture methodLarry2004-10-13 04:14:13
SolutionSolutionLarry2004-10-13 04:00:46
SolutionDimensional analysisTristan2004-10-12 22:47:58
re(3): Not sure if this is right, but.... All better nownikki2004-10-12 21:03:21
Solutionre(2): Not sure if this is right, but.... MORE confused nownikki2004-10-12 19:53:39
re: Not sure if this is right, but....Charlie2004-10-12 18:37:44
re(2): solutionCharlie2004-10-12 17:56:56
re: solutionnikki2004-10-12 14:20:16
SolutionNot sure if this is right, but....nikki2004-10-12 14:17:00
SolutionsolutionCharlie2004-10-12 13:53:10
QuestionConfused! Am I on the right track?nikki2004-10-12 13:24:13
Hints/TipsmethodBon2004-10-12 12:25:24
SolutionHarmonised eating habits !Syzygy2004-10-12 12:17:36
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