document.write( "Question 594695: A carpenter can complete a certain job in 5 hours. After working on the job for 2 hours, an assistant helped finished the job. Together they completed the job in 1 hour. How long might it take the assistant, working alone, to complete a job similar to this one? \n" ); document.write( "
Algebra.Com's Answer #376860 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A carpenter can complete a certain job in 5 hours. After working on the job for 2 hours, an assistant helped finished the job. Together they completed the job in 1 hour. How long might it take the assistant, working alone, to complete a job similar to this one? \n" ); document.write( "** \n" ); document.write( "let x=hours assistant might take to complete the job working alone. \n" ); document.write( "1/x=assistant work rate \n" ); document.write( "1/5=Given carpenter's work rate \n" ); document.write( ".. \n" ); document.write( "Carpenter worked 3 hours on the job or completed 3*1/5=3/5 of the job \n" ); document.write( "Assistant worked 1 hour on the job or completed 1*1/x=1/x of the job \n" ); document.write( ".. \n" ); document.write( "3/5+1/x=100% of the job=1 \n" ); document.write( "1/x=1-3/5 \n" ); document.write( "=5/5-3/5 \n" ); document.write( "=2/5 \n" ); document.write( "x=5/2 \n" ); document.write( "ans: \n" ); document.write( "hours assistant might take to complete the job working alone=2.5 \n" ); document.write( " |