Brain Teasers
Weedy Willie
Weedy Willie was getting too old to work the land alone so he decided to divide his cornfield 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 and 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. Now, Wig, Twig and Swig were identical triplets so each received the same whole number of parts. How many parts did each son get?
Hint
Let the work rates of the triplets combined (Wig, Twig and Swig), Rastus and Willie be x, y, z, respectively. Then5(x + y) = 6(x + z)
Answer
Rastus received 9 parts and the triplets each got 13 parts.Hide Hint Show Hint Hide Answer Show Answer
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Comments
YOU GOT ME, the first teaser that has really had me scratching my head. The wife is not too impressed with you due to my new bald patch!!!
Excellent! Got me too. I had a spreadsheet set up to work the math, but I messed up on a critical calculation. After reading your answer, I found the error, and got that result. Good work.
pretty hard. had to think a lot about it until I looked at the hint then it became pretty easy of what I had to do.
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