document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224089>Question 224089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One car travels 20mph faster than another.  While one of them travels 240 miles, the other travels 180 miles.  Find the speed of both.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I do know that we are looking for the rate which is distance divided by time, but I am having problems setting it up. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167420 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Time of one car is equal to time of the other car, where time is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=D%2Fr ALIGN=MIDDLE  ALT=\"t=D%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x = speed of slower car (which travels the shorter distance!)<BR>\n" );
document.write( "x+20 = speed of faster car (which travels the longer distance!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2Fr=D%2Fr ALIGN=MIDDLE  ALT=\"D%2Fr=D%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F%28x%2B20%29=180%2Fx ALIGN=MIDDLE  ALT=\"240%2F%28x%2B20%29=180%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Remember that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb=c%2Fd ALIGN=MIDDLE  ALT=\"a%2Fb=c%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ad=bc ALIGN=MIDDLE  ALT=\"ad=bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Likewise <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F%28x%2B20%29=180%2Fx ALIGN=MIDDLE  ALT=\"240%2F%28x%2B20%29=180%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240x=180%28x%2B20%29 ALIGN=MIDDLE  ALT=\"240x=180%28x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240x=180x%2B3600 ALIGN=MIDDLE  ALT=\"240x=180x%2B3600\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Subtract 180x from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60x=3600 ALIGN=MIDDLE  ALT=\"60x=3600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=60 ALIGN=MIDDLE  ALT=\"x=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph  speed of slower car<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B20=80 ALIGN=MIDDLE  ALT=\"x%2B20=80\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph   speed of faster car\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check:  The faster car travels 240 miles at 80 mph = 3 hours<BR>\n" );
document.write( "The slower car travels 180 miles at 60 mph = 3 hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Dr. Robert J. Rapalje\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );