document.write( "Question 1088529: A man can paint a room in 8 hours. It takes his son 12 hours to do the same job. After working by himself for 2 hours, his son joined him and together they finished the job. How long did the son work? \n" ); document.write( "
Algebra.Com's Answer #702815 by josmiceli(19441)\"\" \"About 
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The man's rate of working is
\n" ); document.write( "[ 1 room painted ] / [ 8 hrs ] = \"+1%2F8+\"
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\n" ); document.write( "[ rate ] x [ time in hrs ] = [ fraction of the job completed ]
\n" ); document.write( "\"+%281%2F8%29%2A2+=+1%2F4+\"
\n" ); document.write( "That means there is \"+3%2F4+\" of the job left to do
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\n" ); document.write( "Add their rates of working to get the rate at which
\n" ); document.write( "they will finish 3/4 of the job in \"+t+\" hrs
\n" ); document.write( "\"+1%2F8+%2B+1%2F12+=+%28%283%2F4%29%29+%2F+t+\"
\n" ); document.write( "Multiply both sides by \"+24t+\"
\n" ); document.write( "\"+3t+%2B+2t+=+18+\"
\n" ); document.write( "\"+5t+=+18+\"
\n" ); document.write( "\"+t+=+3.6+\"
\n" ); document.write( "\"+.6%2A60+=+36+\"
\n" ); document.write( "The son worked for 3 hrs and 36 min
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\n" ); document.write( "Get a 2nd opinion if needed\r
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