SOLUTION: 3 man can can do as much work as 5 women and 1 women can do as much work as 2 children. if 20 women can finish work in 14 days , in how many days will the same work be finished by

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Question 909162: 3 man can can do as much work as 5 women and 1 women can do as much work as 2 children. if 20 women can finish work in 14 days , in how many days will the same work be finished by 6 man, 5 women and 5 children ?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the rate for 20 women in 14 days. The one-woman rate is 1%2F%2820%2A14%29 jobs per day.

Each child has a rate half of one woman, so the child rate is 1%2F%282%2A20%2A14%29.

Simplify those rates.
Woman, 1%2F280
Child, 1%2F560

Compare with the men.
Let r = the one-man rate.
3%28r%29=5%281%2F280%29, which is R*T for each of these two groups, the three men compared to the five women;
r=5%281%2F280%29%281%2F3%29
r=5%2F840
r=1%2F168

Summary of each one-person work rate:
Man, highlight%281%2F168%29
Woman, highlight%281%2F280%29
Child, highlight%281%2F560%29

QUESTION: In how much time in days, t for 6 men, 5 women, and 5 children? ONE job.
%286%281%2F168%29%2B5%281%2F280%29%2B5%281%2F560%29%29t=1
%286%2F168%2B5%2F280%2B5%2F560%29t=1
Start simplifying
%281%2F28%2B1%2F56%2B1%2F112%29t=1
LCD is 112
%284%2F112%2B2%2F112%2B1%2F112%29t=1
%287%2F112%29t=1
%281%2F16%29t=1
highlight%28t=16%29, DAYS