document.write( "Question 407746: Pls help me solve this word problem:
\n" ); document.write( "Two men paint a home. Jim can paint it alone in 5 days and Alan in 8 days. They start to paint it together but after 2 days Alan gets sick and Jim finishes alone. How long does it take him to paint alone?
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Algebra.Com's Answer #287347 by lwsshak3(11628)\"\" \"About 
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Two men paint a home. Jim can paint it alone in 5 days and Alan in 8 days. They start to paint it together but after 2 days Alan gets sick and Jim finishes alone. How long does it take him to paint alone?
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\n" ); document.write( "\n" ); document.write( "let x=days Jim works alone after Alan gets sick
\n" ); document.write( "Then 2+x =total days Jim works
\n" ); document.write( "Jim's daily work rate finishing the job alone=1/5
\n" ); document.write( "Alans's daily work rate finishing the job alone=1/8
\n" ); document.write( "Alan worked for 2 days, so he did 2(1/8) or 1/4 of the job
\n" ); document.write( "Jim worked for (2+x)days, so he did (2+x)(1/5)of the job to finish it.
\n" ); document.write( "2(1/8)+(2+x)(1/5)=100% of the job=1
\n" ); document.write( "1/4+(2+x)/5=1
\n" ); document.write( "5+8+4x=20
\n" ); document.write( "4x=7
\n" ); document.write( "x=7/4 days
\n" ); document.write( "ans:
\n" ); document.write( "Jim took 1+3/4 days working alone to finish the job.\r
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