document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940120>Question 940120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jenny, who rides a moped, takes 2 hours less to travel 60 miles than Maureen takes to travel 50 miles on her bicycle. Jenny travels 10 miles per hour faster than Maureen. (Hint: speed = distance ÷ time.)\r<BR>\n" );
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document.write( "How fast is Jenny and Maureen going in mph?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572932 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jenny, who rides a moped, takes 2 hours less to travel 60 miles than Maureen takes to travel 50 miles on her bicycle. Jenny travels 10 miles per hour faster than Maureen. (Hint: speed = distance ÷ time.)<BR>\n" );
document.write( " How fast is Jenny and Maureen going in mph?<BR>\n" );
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document.write( "Jenny DATA:<BR>\n" );
document.write( "dist = 60 miles ; time = x-2 hrs ; rate = d/t = 60/(x-2) mph<BR>\n" );
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document.write( "Maureen DATA:<BR>\n" );
document.write( "dist = 50 miles ; time = x hrs ; rate = d/t = 50/x mph<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Jenny rate - Maureen rate = 10 mph<BR>\n" );
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document.write( "60/(x-2) - 50/x = 10 mph<BR>\n" );
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document.write( "60x - 50(x-2) = 10x(x-2)<BR>\n" );
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document.write( "10x + 100 = 10x^2 - 20x<BR>\n" );
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document.write( "x + 10 = x^2 - 2x<BR>\n" );
document.write( "x^2 - 3x - 10 = 0<BR>\n" );
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document.write( "(x-5)(x+2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 5 hrs<BR>\n" );
document.write( "Jenny rate = 60/3 = 20 mph<BR>\n" );
document.write( "Maureen rate = 50/5 = 10 mph<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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