document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336523>Question 336523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on a recent trip, Sararh's car traveled 20 mph faster on the first 110 miles than it did on the remaining 80 miles. The total time for the trip was 4 hr. Find the speed of Sarah's car on the first part of the trip. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241235 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=241235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rate*Time=Distance<BR>\n" );
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document.write( "Substituting,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T1=110%2F%28R2%2B20%29 ALIGN=MIDDLE  ALT=\"T1=110%2F%28R2%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T2=80%2FR2 ALIGN=MIDDLE  ALT=\"T2=80%2FR2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And finally,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110%2F%28R2%2B20%29%2B80%2FR2=4 ALIGN=MIDDLE  ALT=\"110%2F%28R2%2B20%29%2B80%2FR2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110R2%2B80R2%2B1600=4R2%5E2%2B80R2 ALIGN=MIDDLE  ALT=\"110R2%2B80R2%2B1600=4R2%5E2%2B80R2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4R%5E2-110R2-1600=0 ALIGN=MIDDLE  ALT=\"4R%5E2-110R2-1600=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R2+=+%28110+%2B-+sqrt%28+%28110%29%5E2-4%2A4%2A%28-1600%29+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"R2+=+%28110+%2B-+sqrt%28+%28110%29%5E2-4%2A4%2A%28-1600%29+%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R2+=+%28110+%2B-+sqrt%2812100%2B25600+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"R2+=+%28110+%2B-+sqrt%2812100%2B25600+%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R2+=+%28110+%2B-+10sqrt%28377%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"R2+=+%28110+%2B-+10sqrt%28377%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Only the positive result makes sense for this problem.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R2=%28110%2B10sqrt%28377%29%29%2F8 ALIGN=MIDDLE  ALT=\"R2=%28110%2B10sqrt%28377%29%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R2=%28270%2B10sqrt%28377%29%29%2F8 ALIGN=MIDDLE  ALT=\"R2=%28270%2B10sqrt%28377%29%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or approximately,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28R2=58.02%29 ALIGN=MIDDLE  ALT=\"highlight%28R2=58.02%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph<BR>\n" );
document.write( " </SPAN>\n" );
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