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)\"\" \"About 
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( "
\n" );