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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
No All 4 Statements | Comment 21 of 30 |

Could you change all 4? I gotta stop looking at these puzzles at 3 in the morning.  I just looked at it again and saw that my whole guess was blown to hell as soon as I started typing.  I tried looking at ratios and somehow came up with some totally screwed up numbers.  Even without statement 4 my answer made absolutely no sense.

Oh well, all in fun.


  Posted by Bruce Brantley on 2004-10-16 09:23:47
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