document.write( "Question 548776: John paints a wall 6 hours longer then matt does. Together they paint a wall in 4 hours. How long does it take for each to paint the wall if they did it alone. \n" ); document.write( "

Algebra.Com's Answer #357210 by Edwin McCravy(20055) $\"\"$ $\"About$

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John paints a wall 6 hours longer then matt does. Together they paint a wall in 4 hours. How long does it take for each to paint the wall if they did it alone.
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document.write( "We make this chart\r\n" );
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document.write( "                            Number of         Number of       Rate in\r\n" );
document.write( "                          walls painted    hours required     walls/hr\r\n" );
document.write( "John painting alone\r\n" );
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document.write( "Matt painting alone\r\n" );
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document.write( "Both painting together\r\n" );
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document.write( "Suppose Matt takes x hours to paint 1 wall. \r\n" );
document.write( "Then John takes x+6 hours to paint 1 wall.\r\n" );
document.write( "Together it takes them 4 hours to paint 1 wall.\r\n" );
document.write( "Fill those in\r\n" );
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document.write( "                            Number of         Number of       Rate in\r\n" );
document.write( "                          walls painted    hours required     walls/hr\r\n" );
document.write( "John painting alone             1               x+6 \r\n" );
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document.write( "Matt painting alone             1                x\r\n" );
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document.write( "Both painting together          1                4\r\n" );
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document.write( "Next fill in the rates in walls/hr by dividing number of walls painted\r\n" );
document.write( "by the hours required:\r\n" );
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document.write( "                            Number of         Number of       Rate in\r\n" );
document.write( "                          walls painted    hours required     walls/hr\r\n" );
document.write( "John painting alone             1               x+6             \r\n" );
document.write( "Matt painting alone             1                x                \r\n" );
document.write( "Both painting together          1                4             \r\n" );
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document.write( "           The equation comes from\r\n" );
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document.write( "                 +  = \r\n" );
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document.write( "                            +  = \r\n" );
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document.write( "Solve that and get x = 6\r\n" );
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document.write( "So Matt takes 6 hours and John takes x+6 or 6+6 or 12 hours.\r\n" );
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document.write( "Edwin

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