document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129892>Question 1129892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a cyclist began a 578 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 8.5 hr and the car traveled 37.8 mph faster than the&#8203; 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 #746517 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8.5x + 8.5(x + 37.8) = 578<BR>\n" );
document.write( "8.5x + 8.5x + 321.38 = 578<BR>\n" );
document.write( "17x = 256.7<BR>\n" );
document.write( "x = 15.1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The bicycle traveled at an average rate of 15.1 mph and the car at an average rate of 52.9 mph (15.1 + 37.8)<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "bike: 8.5 * 15.1 = 128.35<BR>\n" );
document.write( "car : 8.5 * 52.9 = 449.65<BR>\n" );
document.write( ". . . . . . . . . . -------<BR>\n" );
document.write( ". . . . . Total . . :578 Correct </SPAN>\n" );
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