Jane and Maria clean the house in 8 hours if they work together. the time that Jane takes in cleaning the house alone is 4 hours more than the time Maria takes in cleaning the same house. How long does it take Jane to clean the house alone? How about Maria?
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document.write( "Let x = the number of hours it takes Maria to clean the house.\r\n" );
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document.write( "Therefore Maria's work rate is 1 house cleaned per x hours or \r\n" );
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document.write( ">>the time that Jane takes in cleaning the house alone is 4 hours more than the time Maria takes in cleaning the same house.<<
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document.write( "Therefore Jane's work rate is 1 house cleaned per x+4 hours or\r\n" );
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document.write( ">>Jane and Maria clean the house in 8 hours if they work together.<<
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document.write( "Therefore their combined work rate is 1 house cleaned per 8 hours or\r\n" );
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document.write( "The equation comes from the sum of their individual work rates equals \r\n" );
document.write( "their combined work rate:\r\n" );
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document.write( "Multiply through by LCD of 8x(x+4)\r\n" );
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document.write( "So it takes Maria about 14.25 hours or about 14 hours and 15 minutes\r\n" );
document.write( "to clean the house by herself.\r\n" );
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document.write( "It takes Jane 4 hours longer or about 18 hours and 15 minutes to clean\r\n" );
document.write( "the house by herself.\r\n" );
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document.write( "Edwin
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