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 Subj:.....Jack Sprat And His Wife (S643)           From the book              "More Mathematical Puzzles                 of Sam Loyd"            Edited by Martin Gardner            From: Dover Publications in 1960 Drawing of Jack Sprat amd his wife from Chron.com

How long would it take Jack Sprat and his wife to
eat a barrel of mixed pork, half fat and half lean?

According to Mother Goose, Jack Sprat could eat no fat and
his wife could eat no lean.

Together they could eat a barrel if fat pork in sixty days,
whereas it would take Jack thirty weeks to perform this feat
alone.

Together they consume a barrel of lean pork in eight weeks,
although his wife alone could not dispose of it in less
than forty weeks.

Assume that Jack would always eat lean pork whenever it was
available and that his wife would do the same with fat, how
long would it take both of them to eat a barrel of mixed pork,
half fat and half lean?
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 Finger pointing down from darrell94590 on 1/2/2006
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 Drawing from Ripleys-Believe It Or Not
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THE SOLUTION

From the facts given we can conclude that Jack eats lean
pork at a rate of 1 barrel in 10 weeks, therefore he would
finish the half-barrel of lean in 5 weeks.  During this
same period, his wife (who eats fat at a rate of 1 barrel
in 12 weeks) would consume 5/12 of a barrel of fat.  This
would leave 1/12 of a barrel of fat for both of them to
eat at a rate of 1 barrel in 60 days.  They would finish
the fat in five days, so the total amount of time would be
35 days plus 5 days, or 40 days altogether.

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