document.write( "Question 505173: If 10 men working 8 hours a day take 15 days to complete a job.How long will it take 20 men working 6 hours a day to complete the job?
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document.write( " B) If the two groups are combined how long will it take the new team to complete the same job if they work 10 hours a day? \n" );
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Algebra.Com's Answer #339803 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! If 10 men working 8 hours a day take 15 days to complete a job.How long will it take 20 men working 6 hours a day to complete the job? \n" ); document.write( "B) If the two groups are combined how long will it take the new team to complete the same job if they work 10 hours a day? \n" ); document.write( "** \n" ); document.write( "first group takes 15 days to complete the job working 8 hrs/day \n" ); document.write( "working 10 hrs/day, first group takes (8/10)*15=12 days to complete the job \n" ); document.write( "Work rate of first group=1/12 working 10 hrs/day \n" ); document.write( ".. \n" ); document.write( "10/20*8/6*15=12 days second group takes to complete the job working 6 hrs/day \n" ); document.write( "working 10 hrs/day, second group takes (6/10)*15=9 days to complete the job \n" ); document.write( "Work rate of second group=1/9 working 10 hrs/day \n" ); document.write( ".. \n" ); document.write( "let x=days groups working together can complete the job \n" ); document.write( "1/x = team work rate \n" ); document.write( "sum of individual group work rates=work rate working together \n" ); document.write( "1/12+1/9=1/x \n" ); document.write( "x/12+x/9=1 \n" ); document.write( "LCD:36 \n" ); document.write( "4x+3x=36 \n" ); document.write( "7x=36 \n" ); document.write( "x=36/7 \n" ); document.write( "x=5-1/7 days \n" ); document.write( " |