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 Shepherd's Puzzle (2) (Posted on 2004-10-12)
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)

 Subject Author Date Puzzle Solution K Sengupta 2007-10-23 06:02:41 solution salil 2006-02-15 04:07:49 equal rates Owen 2005-05-28 03:43:44 Solution Angela 2004-12-30 16:43:18 Answer In Bales In Lieu of Blades Michael Cottle 2004-12-23 04:47:46 Not water in a leaky bowl. bernie 2004-10-27 21:30:02 Pouring water into a leaky bowl doremi 2004-10-27 13:38:27 re: Non-linear Approach bernie 2004-10-25 13:09:02 Non-linear Approach bernie 2004-10-23 00:44:58 No All 4 Statements Bruce Brantley 2004-10-16 09:23:47 4th Statement Bruce Brantley 2004-10-16 08:00:03 My Guess Bruce Brantley 2004-10-16 07:44:05 Solution Jesse 2004-10-16 04:11:29 re: Solution Tristan 2004-10-15 07:06:05 Why "no solution yet" status? ravi 2004-10-15 04:15:11 solution Detti 2004-10-14 23:21:56 Re: Solutuin Col 2004-10-13 22:31:38 Mental Picture method Larry 2004-10-13 04:14:13 Solution Larry 2004-10-13 04:00:46 Dimensional analysis Tristan 2004-10-12 22:47:58 re(3): Not sure if this is right, but.... All better now nikki 2004-10-12 21:03:21 re(2): Not sure if this is right, but.... MORE confused now nikki 2004-10-12 19:53:39 re: Not sure if this is right, but.... Charlie 2004-10-12 18:37:44 re(2): solution Charlie 2004-10-12 17:56:56 re: solution nikki 2004-10-12 14:20:16 Not sure if this is right, but.... nikki 2004-10-12 14:17:00 solution Charlie 2004-10-12 13:53:10 Confused! Am I on the right track? nikki 2004-10-12 13:24:13 method Bon 2004-10-12 12:25:24 Harmonised eating habits ! Syzygy 2004-10-12 12:17:36

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