document.write( "Question 424737: larry can paint the walls of his apartment in 8h. after he has worked for 3h, patrick joins him , and together they finish the job in 2h. how long would it take patrick to do the entire painting job without larry? \n" ); document.write( "
Algebra.Com's Answer #296005 by ankor@dixie-net.com(22740)\"\" \"About 
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larry can paint the walls of his apartment in 8h. after he has worked for 3h,
\n" ); document.write( " patrick joins him , and together they finish the job in 2h.
\n" ); document.write( " how long would it take patrick to do the entire painting job without larry?
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\n" ); document.write( "let p = time required by Pat doing the job alone
\n" ); document.write( "let the completed job = 1
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\n" ); document.write( "From the given information we know: L worked 5 hrs and P worked 2 hrs
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\n" ); document.write( "\"5%2F8\" + \"2%2Fp\" = 1
\n" ); document.write( "multiply by 8p to clear the denominators, results:
\n" ); document.write( "5p + 8(2) = 8p
\n" ); document.write( "16 = 8p - 5p
\n" ); document.write( "16 = 3p
\n" ); document.write( "p = \"16%2F3\"
\n" ); document.write( "p = 5\"1%2F3\" hrs alone
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\n" ); document.write( "Check this using decimals
\n" ); document.write( "5/8 + 2/5.33
\n" ); document.write( ".625 + .375 = 1.0
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