document.write( "Question 710713: Y men can do a job in 20 days. They work for 8 days and rest for 4 days. For them to complete the same job they need 16 more men. What is the initial number of men, \n" ); document.write( "
Algebra.Com's Answer #437187 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Y men can do a job in 20 days. \n" ); document.write( "therefore \n" ); document.write( "20y man-days required to do the job \n" ); document.write( ": \n" ); document.write( " They work for 8 days and rest for 4 days. For them to complete the same job they need 16 more men. \n" ); document.write( " What is the initial number of men, \n" ); document.write( ": \n" ); document.write( "Assume they mean they want to finish in 20 days. The additional 16 men will work for 8 days, plus the the original group works for 8 more days. \n" ); document.write( ": \n" ); document.write( "8y + 8(y+16) = 20y \n" ); document.write( "8y + 8y + 128 = 20y \n" ); document.write( "16y + 128 = 20y \n" ); document.write( "128 = 20y - 16y \n" ); document.write( "128 = 4y \n" ); document.write( "y = 128/4 \n" ); document.write( "y = 32 men initially \n" ); document.write( " \n" ); document.write( " |