document.write( "Question 1188324: John takes 8 hours to paint his room. After working for one hour, he called a painter to help him. Working together, they finished the job in 3 more hours. How long would it take for the painter to finish the job if he had worked alone? \n" ); document.write( "
Algebra.Com's Answer #819383 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "John takes 8 hours to paint his room. After working for one hour, he called a painter \n" ); document.write( "to help him. Working together, they finished the job in 3 more hours. \n" ); document.write( "How long would it take for the painter to finish the job if he had worked alone? \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Notice that John worked, in all, 1 + 3 = 4 hours; hence, John made half of the entire lob.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The helper made the other half of the job working 3 hours.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, this helper could make the entire job in 6 hours, working alone. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On joint work problems, see the lessons\r \n" ); document.write( "\n" ); document.write( " - Rate of work problems \r \n" ); document.write( "\n" ); document.write( " - Using Fractions to solve word problems on joint work \r \n" ); document.write( "\n" ); document.write( " - Solving more complicated word problems on joint work \r \n" ); document.write( "\n" ); document.write( " - Using quadratic equations to solve word problems on joint work \r \n" ); document.write( "\n" ); document.write( " - Solving rate of work problem by reducing to a system of linear equations \r \n" ); document.write( "\n" ); document.write( " - Solving joint work problems by reasoning \r \n" ); document.write( "\n" ); document.write( " - Selected joint-work word problems from the archive \r \n" ); document.write( "\n" ); document.write( " - Joint-work problems for 3 participants\r \n" ); document.write( "\n" ); document.write( " - HOW TO algebreze and solve these joint work problems ? \r \n" ); document.write( "\n" ); document.write( " - Had there were more workers, the job would be completed sooner\r \n" ); document.write( "\n" ); document.write( " - One unusual joint work problem\r \n" ); document.write( "\n" ); document.write( " - Very unexpected problem on rate of work - HOW TO setup and HOW TO solve \r \n" ); document.write( "\n" ); document.write( " - Special joint work problems that admit and require an alternative solution method\r \n" ); document.write( "\n" ); document.write( " - Joint work word problems for the day of April, 1\r \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on rate-of-work problems \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |