document.write( "Question 170689: Larry can paint a room in 8 hours by himself. After he worked for 2 hours, Patrick joins him and they finish the job in 2 hours. How long would it take Patrick to do the entire job without Larry? \n" ); document.write( "
Algebra.Com's Answer #126005 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Larry can paint a room in 8 hours by himself. After he worked for 2 hours, Patrick joins him and they finish the job in 2 hours. How long would it take Patrick to do the entire job without Larry? \n" ); document.write( "------------------------------ \n" ); document.write( "Larry DATA: \n" ); document.write( "time = 8 hr/job ; rate = (1/8)job/hr. \n" ); document.write( "In 2 hrs Larry completes 2(1/8) = 1/4th of the job. \n" ); document.write( "------------------------------------------- \n" ); document.write( "Patrick DATA: \n" ); document.write( "time = x hr/job ; rate = 1/x job/hr.\r \n" ); document.write( "\n" ); document.write( "EQUATION: \n" ); document.write( "time*rate = work done \n" ); document.write( "2*((1/8)+(1/x)) = 3/4 \n" ); document.write( "(1/8)+(1/x)= 3/8 \n" ); document.write( "1/x = 2/8 \n" ); document.write( "x = 4 hrs (time for Patrick to do the work alone) \n" ); document.write( "================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |