SOLUTION: considering that the work of a woman and that of a child is respectively 2/3 and 1/3 of a man-day.If a full-man is able to execute an acre of weeding activity in three(3) days,what

Algebra ->  Rate-of-work-word-problems -> SOLUTION: considering that the work of a woman and that of a child is respectively 2/3 and 1/3 of a man-day.If a full-man is able to execute an acre of weeding activity in three(3) days,what      Log On


   



Question 850440: considering that the work of a woman and that of a child is respectively 2/3 and 1/3 of a man-day.If a full-man is able to execute an acre of weeding activity in three(3) days,what amount of weeding could be done by two women and a child in the same period on similar environment
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +R+ = the rate that a man works
+%282%2F3%29%2AR+ = the rate that a woman works
+%284%2F3%29%2AR+ = the rate that 2 women work
+%281%2F3%29%2AR+ = the rate that a child works
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+R+=+1%2F3+ ( 1 acre of weeding ) / ( 3 days )
+%284%2F3%29%2AR+%2B+%281%2F3%29%2AR+ = rate of 2 women + 1 child
+%284%2F3%29%2A%281%2F3%29+%2B+%281%2F3%29%2A%281%2F3%29+=+4%2F9+%2B+1%2F9+
+4%2F9+%2B+1%2F9+=+5%2F9+
+5%2F9+=+%28%28+5%2F3+%29%29+%2F+3+
They can weed 1 and 2/3 acres in 3 days