document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017398>Question 1017398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "Suppose that a cyclist began a 308 mi ride across a state at the western edge of the&#8203; state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 5.5 hr and the car traveled 36.8 mph faster than the&#8203; bicycle, find the average rate of each.\r<BR>\n" );
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document.write( "The car average rate is ___mph?<BR>\n" );
document.write( "The bicycle's average rate is ______mph? \r<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 #633718 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two together cover the entire state or 308 miles.<BR>\n" );
document.write( "bicycle speed=x mph<BR>\n" );
document.write( "car speed=x+36.8 mph<BR>\n" );
document.write( "bicycle traveled 5.5x miles in 5.5 hours<BR>\n" );
document.write( "car traveled 5.5x+36.8*5.5=5.5x+202.4 miles<BR>\n" );
document.write( "combined distance is 11x+202.4=308 miles<BR>\n" );
document.write( "11x=105.6 miles/hr<BR>\n" );
document.write( "x=9.6 mph BICYCLE<BR>\n" );
document.write( "x+36.8=46.4 mph CAR<BR>\n" );
document.write( "Together, the converge at 56 mph<BR>\n" );
document.write( "in 5.5 hours they cover 308 miles<BR>\n" );
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