document.write( "Question 838642: 4 men or 6 boys can dig a well in 14 days . how long would 2 men and 4 boys take to dig the same well? \n" ); document.write( "
Algebra.Com's Answer #505226 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 4 men or 6 boys can dig a well in 14 days. \n" ); document.write( "Find the number of man-days and boy-days required to complete the job \n" ); document.write( "4 * 14 = 56 man-days \n" ); document.write( "6 * 14 = 84 boy-days \n" ); document.write( ": \n" ); document.write( "Since they both worked 14 days to complete the job, we can say: \n" ); document.write( "4m = 6b \n" ); document.write( "2m = 3b \n" ); document.write( "m = 1.5b \n" ); document.write( ": \n" ); document.write( " how long would 2 men and 4 boys take to dig the same well? \n" ); document.write( "Use boy-days, replace men with 1.5 \n" ); document.write( "let d = no. of days required with this scenario \n" ); document.write( "2(1.5)d + 4d = 84 \n" ); document.write( "3d + 4d = 84 \n" ); document.write( "7d = 84 \n" ); document.write( "d = 84/7 \n" ); document.write( "d = 12 days for 2 men and 4 boys to do the job\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |