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Sunday Puzzle-19

User Rating: / 1
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Written by Administrator   
Sunday, 02 September 2012
Image
Puzzle courtesy of Barry R. Clarke, columnist for The Daily Telegraph and
international puzzle expert.

Square Feet with Corn

Weedy Willie was getting too old to work the land alone so he decided to divide his corn field between himself and his four sons in proportion to their five work rates. He knew that Rastus, Wig, Twig and Swig together could plant a field of corn in five hours whereas Wig, Twig, Swig and himself together could manage the same task in six hours. So Weedy divided his field into a two-digit square number of parts and kept just one part for himself. Wig, Twig and Swig were identical triplets and each son received a whole number of parts. How many parts did each son get?

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Comments (3)
1. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 18:41 02 2012 .
 
 
IehddHsrMSCD
A little rationality lifts the quality of the debate here. Thanks for cntoributing!
 
2. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 02:27 03 2012 .
 
 
IehddHsrMSCD
9 for Rastus, 13 for each of the triplets.
 
3. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 15:08 06 2012 .
 
 
IehddHsrMSCD
We can get integer results by changing the times this way: 
 
He knew that Rastus, Wig, Twig and Swig together could plant a field of corn in 9 hours whereas Wig, Twig, Swig and himself together could manage the same task in 12 hours.  
 
The triplets can be considered as one person. 
a = combined triplets, b = Rastus, C = Willie 
 
a = 5, b = 3, c = 1 
 
a + b : 9 hours 
a + c : 12 hours 
a + b + c = 8 hours 
 
The "square" becomes a 3by3: 
a a a 
a a b 
b b c
 

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