document.write( "Question 150821: One group of workers can do a job in 8 days. After this group has worked 3 days, another group joins it and together they complete the job in 3 more days. In what time could the second group have done the job alone? \n" ); document.write( "
Algebra.Com's Answer #110753 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! One group of workers can do a job in 8 days. After this group has worked 3 days, another group joins it and together they complete the job in 3 more days. In what time could the second group have done the job alone?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3/8 of the work was done by the first group, and 5/8 was done together. \n" ); document.write( "Find rate of work together. \n" ); document.write( "5/8 was done in 3 days, so 8/8 can be done in 4 and 4/5 days or 24/5 days\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/8+x=5/24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 1/8 from both sides \n" ); document.write( "x=1/12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/12y=1 \n" ); document.write( "y=12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: \n" ); document.write( "12 days \n" ); document.write( " |