document.write( "Question 347473: A can do a piece of work in two-thirds as many day as B,and B can do it in three-fourths as many days as C. Working together, they can do it in 2 and ten-thirteenths days. In how many days can each of them alone do the work. \n" ); document.write( "
Algebra.Com's Answer #248557 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! 2 10/13 = 36/13\r \n" ); document.write( "\n" ); document.write( "C takes n days to do one job. \n" ); document.write( "B takes (3/4) n days to do one job. \n" ); document.write( "A takes (2/3) [(3/4) n] days to do one job. [= n/2 days to do one job.]\r \n" ); document.write( "\n" ); document.write( "C can complete 1/n jobs in a day. \n" ); document.write( "B can complete 4/(3n) jobs in a day. \n" ); document.write( "A can complete 2/n jobs in a day.\r \n" ); document.write( "\n" ); document.write( "36/13 days * [1/n jobs/day + 4/(3n) jobs/day + 2/n jobs/day] = 1 job.\r \n" ); document.write( "\n" ); document.write( "solve for n, then plug-n-chug into:\r \n" ); document.write( "\n" ); document.write( "C takes n days to do one job. \n" ); document.write( "B takes (3/4) n days to do one job. \n" ); document.write( "A takes n/2 days to do one job. \n" ); document.write( " \n" ); document.write( " |