document.write( "Question 275369: Working together, Sarah and Heidi can milk the cows in 6 hours. If they work alone, it takes Heidi 9 hours longer than it takes Sarah. How long would it take Heidi to milk the cows alone? \n" ); document.write( "
Algebra.Com's Answer #200872 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! (6 / h) + [6 / (h - 9)] = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6h - 54 + 6h = h^2 - 9h\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = h^2 - 21h + 54\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = (h - 18) (h - 3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h = 3 does not work because 9 less than 3 would be negative time ... \n" ); document.write( " |