document.write( "Question 187120This question is from textbook
\n" ); document.write( ": Connie can type 600 words in 5 minutes less than it takes katie to type 600 words. If connie types at a rate of 20 words per minute faster than katie types, find the typing rate of each woman. \n" ); document.write( "
Algebra.Com's Answer #140265 by stanbon(75887)\"\" \"About 
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Connie can type 600 words in 5 minutes less than it takes katie to type 600 words. If connie types at a rate of 20 words per minute faster than katie types, find the typing rate of each woman.
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\n" ); document.write( "Katie DATA:
\n" ); document.write( "time = x min/600 wds ; rate = 600 wds/x min
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\n" ); document.write( "Connie DATA:
\n" ); document.write( "time = (x-5) min/600 wds ; rate = 600wds/(x-5)min
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\n" ); document.write( "Equations:
\n" ); document.write( "Connie rate - Katie rate= 20
\n" ); document.write( "600/(x-5) - (600/x) = 20
\n" ); document.write( "3000 = 20x(x-5)
\n" ); document.write( "x(x-5)= 150
\n" ); document.write( "x^2 -5x - 150 = 0
\n" ); document.write( "(x-15)(x+10) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 15 minutes (time for Katie to type 600 wds).
\n" ); document.write( "x-5 = 10 minutes (time for Connie to type 600 wds)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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