document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888635>Question 888635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars leave from a city at the same time and travel in the same direction. One car travels two and two-thirds times as fast as the other. After 1 hour, they are 50 miles apart. What are the speeds of the cars? Write and solve a system of equations.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537529 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=537529\">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 slower car<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8%2F3+%29%2As+ ALIGN=MIDDLE  ALT=\"+%28+8%2F3+%29%2As+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the faster car<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance the faster car travels in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+-+d+ ALIGN=MIDDLE  ALT=\"+50+-+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance the slower car travels in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Equation for slower car:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+-+d+=+s%2A1+ ALIGN=MIDDLE  ALT=\"+50+-+d+=+s%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for faster car:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+8%2F3+%29%2As%2A1+ ALIGN=MIDDLE  ALT=\"+d+=+%28+8%2F3+%29%2As%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+-+%28+8%2F3+%29%2As+=+s+ ALIGN=MIDDLE  ALT=\"+50+-+%28+8%2F3+%29%2As+=+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+-+8s+=+3s+ ALIGN=MIDDLE  ALT=\"+150+-+8s+=+3s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11s+=+150+ ALIGN=MIDDLE  ALT=\"+11s+=+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+13+636+ ALIGN=MIDDLE  ALT=\"+s+=+13+636+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8%2F3%29%2As+=+%28+8%2F3+%29%2A%28+150%2F11+%29+ ALIGN=MIDDLE  ALT=\"+%28+8%2F3%29%2As+=+%28+8%2F3+%29%2A%28+150%2F11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+8%2F3+%29%2As+=+36.364+ ALIGN=MIDDLE  ALT=\"+%28+8%2F3+%29%2As+=+36.364+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "The faster car's speed is 36.364 mi/hr<BR>\n" );
document.write( "The slower car's speed is 13.636 mi/hr<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+-+d+=+s%2A1+ ALIGN=MIDDLE  ALT=\"+50+-+d+=+s%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+-+d+=+150%2F11+ ALIGN=MIDDLE  ALT=\"+50+-+d+=+150%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+550%2F11+-+150%2F11+ ALIGN=MIDDLE  ALT=\"+d+=+550%2F11+-+150%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+400%2F11+ ALIGN=MIDDLE  ALT=\"+d+=+400%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+8%2F3+%29%2As%2A1+ ALIGN=MIDDLE  ALT=\"+d+=+%28+8%2F3+%29%2As%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+8%2F3+%29%2A%28+150%2F11+%29+ ALIGN=MIDDLE  ALT=\"+d+=+%28+8%2F3+%29%2A%28+150%2F11+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+400%2F11+ ALIGN=MIDDLE  ALT=\"+d+=+400%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );