document.write( "Question 37839: 20 men can do a piece of work in 24 days. After working for few days,4 men are added and the work was finished 3 daysearlier.After how many days were 4 men added? \n" ); document.write( "
Algebra.Com's Answer #23360 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Cool problem. \n" ); document.write( "We know the entire job takes 20 men 24 days to finish, or 480 man-days. \n" ); document.write( "Now if we let the time they work initially to be t, we know that they worked 20t man-days. Then after the 4 men are added, they work for an additional 21 - t days, because we are told they take three days less than the original 24 days. \n" ); document.write( "Okay, now if we add the two parts together, we know they must add up to the original 480 man-days... \n" ); document.write( "20t + 24(21 - t) = 480 \n" ); document.write( "20t + 504 - 24t = 480 \n" ); document.write( "-4t + 504 - 480 \n" ); document.write( "-4t = -24 \n" ); document.write( "t = 6 \n" ); document.write( "Thus the 4 men were added after 6 days. \n" ); document.write( "Good problem. I may steal that one for my students. \n" ); document.write( " |