document.write( "Question 733664: 20 men or 30 boys can do a certain job in 20 days. how long will it take 6 men and 15 boys to do the same job ? \n" ); document.write( "
Algebra.Com's Answer #448646 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 20 men or 30 boys can do a certain job in 20 days. \n" ); document.write( "Find how many man-days or boy-days to do the job \n" ); document.write( "20*20 = 400 man-days \n" ); document.write( "or \n" ); document.write( "20*30 = 600 boy-days \n" ); document.write( "therefore \n" ); document.write( "400md = 600 bd \n" ); document.write( "m = 600bd/400d \n" ); document.write( "m = 1.5b \n" ); document.write( "a man accomplishes 1.5 times as much as a boy in 1 hr \n" ); document.write( ": \n" ); document.write( " how long will it take 6 men and 15 boys to do the same job ? \n" ); document.write( "let t = no. of days to do this (in terms of boy-days) \n" ); document.write( "6t(1.5) + 15t = 600 \n" ); document.write( "9t + 15t = 600 \n" ); document.write( "24t = 600 \n" ); document.write( "t = 600/24 \n" ); document.write( "t = 25 days to complete the job \n" ); document.write( " |