document.write( "Question 951733: if sally can paint a room in 6 hours while it takes steve 7 hours to paint the same room. how long would it take them to paint the room if they worked together? \n" ); document.write( "

Algebra.Com's Answer #581257 by Edwin McCravy(20054) $\"\"$ $\"About$

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if sally can paint a room in 6 hours while it takes steve 7 hours to paint the
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document.write( "There are two ways to do it, one with algebra and one way without algebra. \r\n" );
document.write( "I'll show both ways.\r\n" );
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document.write( "WITHOUT algebra:\r\n" );
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document.write( "The least common multiple of 6 hours and 7 hours is 42 hours.  So in a 42 hour\r\n" );
document.write( "period working together, Sally could paint 7 rooms while Steve paints 6.  So\r\n" );
document.write( "together they would have painted 13 rooms in 42 hours, so together they could\r\n" );
document.write( "paint 1 room in  hours or  hours. \r\n" );
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document.write( "WITH algebra:\r\n" );
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document.write( "Sally can paint 1 room in 6 hours, so\r\n" );
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document.write( "Sally's painting rate is , or\r\n" );
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document.write( "Steve can paint a room in 7 hours, so\r\n" );
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document.write( "Steve's painting rate is .\r\n" );
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document.write( "or \r\n" );
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document.write( "Let x = the number of hours it would take them to paint the room.\r\n" );
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document.write( "Their combined painting rate is .\r\n" );
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document.write( "or \r\n" );
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document.write( "The equation comes from:\r\n" );
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document.write( "Multiply through by LCD 42x\r\n" );
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document.write( "Edwin

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