document.write( "Question 725110: A carpenter can complete a job in 5 hours. After working on the job for 2 hours, an assistant helped finish 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 #444073 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A carpenter can complete a job in 5 hours. \n" ); document.write( " After working on the job for 2 hours, an assistant helped finish the job. \n" ); document.write( " Together they completed the job in 1 hour. \n" ); document.write( " How long might it take the assistant, working alone, to complete a job similar to this one? \n" ); document.write( ": \n" ); document.write( "let a = time required by the assistant working alone \n" ); document.write( "let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "The carpenter worked a total 3 hrs, the assistant for 1 hr, \n" ); document.write( " a shared work equation \n" ); document.write( "; \n" ); document.write( " \n" ); document.write( "multiply by 5a, results: \n" ); document.write( "3a + 5(1) = 5a \n" ); document.write( "5 = 5a - 3a \n" ); document.write( "5 = 2a \n" ); document.write( "a = 5/2 \n" ); document.write( "a = 2.5 hrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check \n" ); document.write( " |