document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005457>Question 1005457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a cyclist began a 279 mi ride across a 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 and car met after 4.5 hours and the car traveled 35.8 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 #621716 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=621716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= average speed of the bicycle, in mph.<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B35.8 ALIGN=MIDDLE  ALT=\"x%2B35.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >= average speed of the car, in mph,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5x ALIGN=MIDDLE  ALT=\"4.5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance covered by the bicycle in 4.5 hours, in miles,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%28x%2B35.8%29 ALIGN=MIDDLE  ALT=\"4.5%28x%2B35.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance covered by the car in 4.5 hours, in miles, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5x%2B4.5%28x%2B35.8%29 ALIGN=MIDDLE  ALT=\"4.5x%2B4.5%28x%2B35.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= total distance covered by the bicycle and car in 4.5 hours, in miles.<BR>\n" );
document.write( "Since after 4.5 hours the whole <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=279 ALIGN=MIDDLE  ALT=\"279\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles of road across the state had been covered between bicycle and car,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5x%2B4.5%28x%2B35.8%29=279 ALIGN=MIDDLE  ALT=\"4.5x%2B4.5%28x%2B35.8%29=279\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5x%2B4.5%28x%2B35.8%29=279 ALIGN=MIDDLE  ALT=\"4.5x%2B4.5%28x%2B35.8%29=279\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5x%2B4.5x%2B4.5%2A35.8=279 ALIGN=MIDDLE  ALT=\"4.5x%2B4.5x%2B4.5%2A35.8=279\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B161.1=279 ALIGN=MIDDLE  ALT=\"9x%2B161.1=279\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=279-161.1 ALIGN=MIDDLE  ALT=\"9x=279-161.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=117.9 ALIGN=MIDDLE  ALT=\"9x=117.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=117.9%2F9 ALIGN=MIDDLE  ALT=\"x=117.9%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=13.1 ALIGN=MIDDLE  ALT=\"x=13.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B35.8=13.1%2B35.8 ALIGN=MIDDLE  ALT=\"x%2B35.8=13.1%2B35.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B35.8=48.9 ALIGN=MIDDLE  ALT=\"x%2B35.8=48.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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