document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005986>Question 1005986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a cyclist began a 570 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 9.5 hr and the car traveled 38.6 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 #622138 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the bicycle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+38.6+ ALIGN=MIDDLE  ALT=\"+s+%2B+38.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the car<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Think of this as one of them standing still<BR>\n" );
document.write( "( either one ) and the other traveling at <BR>\n" );
document.write( "the sum of their speeds<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+570+=+%28+s+%2B+s+%2B+38.6+%29%2A9.5+ ALIGN=MIDDLE  ALT=\"+570+=+%28+s+%2B+s+%2B+38.6+%29%2A9.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+570+=+19s+%2B+366.7+ ALIGN=MIDDLE  ALT=\"+570+=+19s+%2B+366.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+19s+=+203.3+ ALIGN=MIDDLE  ALT=\"+19s+=+203.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+10.7+ ALIGN=MIDDLE  ALT=\"+s+=+10.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+38.6+=+10.7+%2B+38.6+ ALIGN=MIDDLE  ALT=\"+s+%2B+38.6+=+10.7+%2B+38.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+38.6+=+49.3+ ALIGN=MIDDLE  ALT=\"+s+%2B+38.6+=+49.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "their speeds are:<BR>\n" );
document.write( "10.7 mi/hr and 49.3 mi/hr<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+570+=+%28+2s+%2B+38.6+%29%2A9.5+ ALIGN=MIDDLE  ALT=\"+570+=+%28+2s+%2B+38.6+%29%2A9.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+570+=+%28+2%2A10.7+%2B+38.6+%29%2A9.5+ ALIGN=MIDDLE  ALT=\"+570+=+%28+2%2A10.7+%2B+38.6+%29%2A9.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+570+=+%28+21.4+%2B+38.6+%29%2A9.5+ ALIGN=MIDDLE  ALT=\"+570+=+%28+21.4+%2B+38.6+%29%2A9.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+570+=+60%2A9.5+ ALIGN=MIDDLE  ALT=\"+570+=+60%2A9.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+570+=+570+ ALIGN=MIDDLE  ALT=\"+570+=+570+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );