document.write( "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 ? \n" ); document.write( "
Algebra.Com's Answer #551650 by josgarithmetic(39617)\"\" \"About 
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Start with the rate for 20 women in 14 days. The one-woman rate is \"1%2F%2820%2A14%29\" jobs per day.\r
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\n" ); document.write( "\n" ); document.write( "Each child has a rate half of one woman, so the child rate is \"1%2F%282%2A20%2A14%29\".\r
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\n" ); document.write( "\n" ); document.write( "Simplify those rates.
\n" ); document.write( "Woman, \"1%2F280\"
\n" ); document.write( "Child, \"1%2F560\"\r
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\n" ); document.write( "\n" ); document.write( "Compare with the men.
\n" ); document.write( "Let r = the one-man rate.
\n" ); document.write( "\"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;
\n" ); document.write( "\"r=5%281%2F280%29%281%2F3%29\"
\n" ); document.write( "\"r=5%2F840\"
\n" ); document.write( "\"r=1%2F168\"\r
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\n" ); document.write( "\n" ); document.write( "Summary of each one-person work rate:
\n" ); document.write( "Man, \"highlight%281%2F168%29\"
\n" ); document.write( "Woman, \"highlight%281%2F280%29\"
\n" ); document.write( "Child, \"highlight%281%2F560%29\"\r
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\n" ); document.write( "\n" ); document.write( "QUESTION: In how much time in days, \"t\" for 6 men, 5 women, and 5 children? ONE job.\r
\n" ); document.write( "\n" ); document.write( "\"%286%281%2F168%29%2B5%281%2F280%29%2B5%281%2F560%29%29t=1\"
\n" ); document.write( "\"%286%2F168%2B5%2F280%2B5%2F560%29t=1\"
\n" ); document.write( "Start simplifying
\n" ); document.write( "\"%281%2F28%2B1%2F56%2B1%2F112%29t=1\"
\n" ); document.write( "LCD is 112
\n" ); document.write( "\"%284%2F112%2B2%2F112%2B1%2F112%29t=1\"
\n" ); document.write( "\"%287%2F112%29t=1\"
\n" ); document.write( "\"%281%2F16%29t=1\"
\n" ); document.write( "\"highlight%28t=16%29\", DAYS
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