document.write( "Question 49093: if sally can paint a house in 4 hours, and john can paint the same house in 6 hours how long will it take both of them to paint the same house together \n" ); document.write( "
Algebra.Com's Answer #32543 by AnlytcPhil(1806)\"\" \"About 
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if sally can paint a house in 4 hours, and john can \r\n" );
document.write( "paint the same house in 6 hours how long will it take \r\n" );
document.write( "both of them to paint the same house together.\r\n" );
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document.write( "Let the answer be x hours:\r\n" );
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document.write( ">>...sally can paint a house in 4 hours...<<\r\n" );
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document.write( "So in one hour she can paint 1/4th of a house\r\n" );
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document.write( "So in x hours she can paint x times 1/4th of a house, \r\n" );
document.write( "or x/4ths of a house\r\n" );
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document.write( ">>...john can paint the same house in 6 hours...<<\r\n" );
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document.write( "So in one hour he can paint 1/6 of a house\r\n" );
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document.write( "So in x hours he can paint x times 1/6th of a house,\r\n" );
document.write( "or x/6ths of a house\r\n" );
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document.write( "Therefore the x/4ths of a house that Sally paints plus\r\n" );
document.write( "the x/6ths of a house that John paints must equal\r\n" );
document.write( "1 house painted, so\r\n" );
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document.write( "  x/4 + x/6 = 1\r\n" );
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document.write( "Solve that by multiplying thru all terms by LCD of 12\r\n" );
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document.write( "Answer = 2.4 hours or 2 hours 24 minutes.\r\n" );
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document.write( "Edwin
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