document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036797>Question 1036797</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Suppose that a cyclist began a  234 mile ride across the state at the western edge of the state at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle in car met after  4 1/2 hours and the car travel 31.2 mph faster than the bicycle find the average rate of each?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651511 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=651511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose that a cyclist began a 234 mile ride across the state at the western edge of the state at the same time that a car traveling toward it leaves the eastern end of the state. If the bdicycle in car met after 4 1/2 hours and the car travel 31.2 mph faster than the bicycle find the average rate of each? <BR>\n" );
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document.write( "cyclist DATA:<BR>\n" );
document.write( "distance = d miles ; rate = r mph ; time = d/r hours<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "car DATA:<BR>\n" );
document.write( "dist = 234-d miles ; rate = r + 31.2 mph ; time = (234-d)/(31.2+r) hours<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(234-d)/(31.2+r) = d/r<BR>\n" );
document.write( "d/r = 4.5<BR>\n" );
document.write( "d= 4.5r<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "31.2d + rd = 234r-rd<BR>\n" );
document.write( "2rd = 234r - 31.2d<BR>\n" );
document.write( "2r(4.5r) = 234r - 31.2(4.5r)<BR>\n" );
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document.write( "9r^2 = 93.6r<BR>\n" );
document.write( "r(9r-93.6) = 0<BR>\n" );
document.write( "r = 10.4 (bike rate)<BR>\n" );
document.write( "r+31.2 = 41.6 mph (car rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );