Hard Work
1 man, 3 women and 4 boys can do a piece of work in 96 hours.
2 men and 8 boys can do it in 80 hrs.
2 men and 3 women can do it in 120 hrs.
How long would it take 5 men and 12 boys to complete it?
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Let m,w,b hours of work by one man, woman, boy to complete the work .
Then equations are
1/m + 3/w + 4/b = 1/96....................(1)
2/m + 8/b = 1/80...................(2)
2/m + 3/w = 1/120.................(3)
(3) + 2(2) - (1)... =... 2/m + 3/w + 2 * ( 2/m + 8/b ) - ( 1/m + 3/w + 4/b)
5/m + 12/b.... =.... 1/120 + 2/80 - 1/96.... =..... 11/480