document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=414433>Question 414433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brenda and her husband Randy bicycled cross-country together.  One morning, Brenda rode 30 miles.  By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered.  What was the speed of each cyclist. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290680 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=290680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered. What was the speed of each cyclist.<BR>\n" );
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document.write( "Brenda DATA:<BR>\n" );
document.write( "distance = 30 miles ; rate = x mph ; time = 30/x hrs<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "New DATA<BR>\n" );
document.write( "Randy DATA:<BR>\n" );
document.write( "distance = 60 miles ; rate = (x+5) mph ; time = 60/(x+5) hrs<BR>\n" );
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document.write( "Equation: <BR>\n" );
document.write( "Brenda time - Randy time = 1 hr.<BR>\n" );
document.write( "30/x - 60/(x+5) = 1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "30(x+5) - 60x = x(x+5)<BR>\n" );
document.write( "30x+150 - 60x = x^2+5x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2+35x-150 = 0<BR>\n" );
document.write( "Use the Quadratic Formula to get x = 3.86 mph (Brenda's rate)<BR>\n" );
document.write( "x+5 = 8.86 mph (Randy's rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========== </SPAN>\n" );
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