document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73196>Question 73196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During rush hour, Fernando can drive 35 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando’s rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52467 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=rate on freeway<BR>\n" );
document.write( "Then (x+9)=rate on side roads\r<BR>\n" );
document.write( "\n" );
document.write( "distance(d)=rate(r) times time(t) or d=rt and t=d/r\r<BR>\n" );
document.write( "\n" );
document.write( "time to drive 35 mi using side roads=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2F%28x%2B9%29 ALIGN=MIDDLE  ALT=\"35%2F%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And time to drive 30 miles using freeway=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fx ALIGN=MIDDLE  ALT=\"30%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now we are told that the above two times are equal, so:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2F%28x%2B9%29=30%2Fx ALIGN=MIDDLE  ALT=\"35%2F%28x%2B9%29=30%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >  multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B9%29 ALIGN=MIDDLE  ALT=\"x%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35x=30%28x%2B9%29 ALIGN=MIDDLE  ALT=\"35x=30%28x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > get rid of parens\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35x=30x%2B270 ALIGN=MIDDLE  ALT=\"35x=30x%2B270\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract 30 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35x-30x=30x-30x%2B270 ALIGN=MIDDLE  ALT=\"35x-30x=30x-30x%2B270\"   DISABLED_style= \"max-width:90%; height:auto;\" > collect like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=270 ALIGN=MIDDLE  ALT=\"5x=270\"   DISABLED_style= \"max-width:90%; height:auto;\" >  divide both sides by 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=54 ALIGN=MIDDLE  ALT=\"x=54\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph----------------------------------rate on freeway<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9=54%2B9=63 ALIGN=MIDDLE  ALT=\"x%2B9=54%2B9=63\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph---------------------------rate on side roads\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "t=d/r<BR>\n" );
document.write( "35/63=30/54<BR>\n" );
document.write( "0.55555=0.55555\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );