Thursday, February 5, 2015

A Puzzle For Kids

Difficult problem
The following problem was for a long period considered insolvable:

Sham S. Misri

A contractor orders two men to dig a 100 foot ditch. Each digger is to receive $50.
One end of the ditch is hard ground for which the contractor pays the rate of $1.25 a foot. The other end is soft ground for which the contractor pays @ 75 cents a foot.
How many feet must each dig to get exactly $50?



Solution:

            Each man digs 25 feet at $ 1.25 = $31.25
               -do-        Digs 25 feet @  0.75 = $18.75
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                                      Total for each   = $ 50.0