document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792404>Question 792404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To travel 88 miles, it takes Sue, riding a moped, 4 hours less time than it takes Doreen to travel 56 miles riding a bicycle. Sue travels 15 miles per hour faster than Doreen. Find the times and rates of both girls.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479970 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=479970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To travel 88 miles, it takes Sue, riding a moped, 4 hours less time than it takes Doreen to travel 56 miles riding a bicycle. Sue travels 15 miles per hour faster than Doreen. Find the times and rates of both girls.<BR>\n" );
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document.write( "Sue DATA:<BR>\n" );
document.write( "distance = 88 miles; x-4 hrs ; rate = 88/(x-4) hours<BR>\n" );
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document.write( "Doreen DATA:<BR>\n" );
document.write( "distance = 56 miles; x hrs ; rate = 56/x hours<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "88/(x-4) - 56/x = 15 mph<BR>\n" );
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document.write( "88x - 56(x-4) = 15x(x-4)<BR>\n" );
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document.write( "88x - 56x + 56*4 = 15x^2 - 60x<BR>\n" );
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document.write( "32x + 224 = 15x^2-60x<BR>\n" );
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document.write( "15x^2 - 92x - 224 = 0<BR>\n" );
document.write( "x = 8 hours<BR>\n" );
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document.write( "Etc.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan .<BR>\n" );
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