document.write( "Question 1156875: Six men working at the same rate can weed a farm in 16 days. After working for 4 days, 2 more men were hired. How long did they take to weed the farm? \n" ); document.write( "
Algebra.Com's Answer #853774 by ikleyn(53618) You can put this solution on YOUR website! . \n" ); document.write( "Six men working at the same rate can weed a farm in 16 days. After working for 4 days, 2 more men were hired. \n" ); document.write( "How long did they take to weed the farm? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I will show another way to solve, using different reasoning than that in the post by @mananth.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Its advantage is that NEITHER fractions NOR equations are used.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The total job is 6 men * 16 days = 96 man-days.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "6 men used 6*4 = 24 man-days; 96 - 24 = 72 man-days work remained.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now 6 + 2 = 8 men work. They need 72/8 = 9 days to complete the remaining job.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, 8 men will complete the rest of the job in 9 days.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In all, the whole job will be complete in 4 + 9 = 13 days.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved completely, using mental reasoning instead equations and fractions.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |