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 #746516 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=746516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can think of this as one of them <BR>\n" );
document.write( "traveling at the sum of their speeds for<BR>\n" );
document.write( "the entire distance while the other one<BR>\n" );
document.write( "is standing still<BR>\n" );
document.write( "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 bike<BR>\n" );
document.write( "in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+37.8+ ALIGN=MIDDLE  ALT=\"+s+%2B+37.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the car<BR>\n" );
document.write( "in mi/hr<BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+578+=+%28+s+%2B+s+%2B+37.8+%29%2A8.5+ ALIGN=MIDDLE  ALT=\"+578+=+%28+s+%2B+s+%2B+37.8+%29%2A8.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+578+=+%28+2s+%2B+37.8+%29%2A8.5+ ALIGN=MIDDLE  ALT=\"+578+=+%28+2s+%2B+37.8+%29%2A8.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s+%2B+37.8+=+68+ ALIGN=MIDDLE  ALT=\"+2s+%2B+37.8+=+68+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s+=+30.2+ ALIGN=MIDDLE  ALT=\"+2s+=+30.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+15.1+ ALIGN=MIDDLE  ALT=\"+s+=+15.1+\"   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+37.8+=+52.9+ ALIGN=MIDDLE  ALT=\"+s+%2B+37.8+=+52.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The bike's speed was 15.1 mi/hr<BR>\n" );
document.write( "The car's speed was 52.9 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=+d%5B1%5D+=+15.1%2A8.5+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+15.1%2A8.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+128.35+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+128.35+\"   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=+d%5B2%5D+=+52.9%2A8.5+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+52.9%2A8.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+449.65+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+449.65+\"   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=+d%5B1%5D+%2B+d%5B2%5D+=+128.35+%2B+449.65+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+%2B+d%5B2%5D+=+128.35+%2B+449.65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+%2B+d%5B2%5D+=+578+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+%2B+d%5B2%5D+=+578+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );