document.write( "Question 792019: 4 men and 4 boys can do a piece of work in 3 days while 2 men and 5 boys can finish it in 4 days. How long would it take 1 boy to do it? How long would it take 1 man to do it? \n" ); document.write( "

Algebra.Com's Answer #480086 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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4 men and 4 boys can do a piece of work in 3 days while 2 men and 5 boys can finish it in 4 days.
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\n" ); document.write( "Find the relationship between a man-day and a boy day
\n" ); document.write( "12 man-days + 12 boy-days = 8 man-days + 20 boy days
\n" ); document.write( "12 md - 8 md = 20bd - 12 bd
\n" ); document.write( "4md = 8bd
\n" ); document.write( "divide both sides by 4d
\n" ); document.write( "m = 2b (1 man = 2 boys)
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\n" ); document.write( "Find how many man-days required to do the job, replace 2 b with 1 m
\n" ); document.write( "3(4 m + 2m) = 18 man days to do the job or 36 boy days to do the job
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\n" ); document.write( " How long would it take 1 boy to do it? 36 days
\n" ); document.write( " How long would it take 1 man to do it? 18 days \n" ); document.write( "

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