document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192729>Question 192729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jim drives from the Twin Cities to Monroe Louisiana, a distance of 1075 miles in record time.  On the way back he averages 5 mph slower and the trip takes an additional 1.5 hrs.  How fast did he drive to Monroe LA.?  Round to the nearest tenth of a mph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144817 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=144817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jim drives from the Twin Cities to Monroe Louisiana, a distance of 1075 miles<BR>\n" );
document.write( " in record time. On the way back he averages 5 mph slower and the trip takes<BR>\n" );
document.write( " an additional 1.5 hrs. How fast did he drive to Monroe LA.?<BR>\n" );
document.write( " Round to the nearest tenth of a mph.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = his original speed to La<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-5) = his return speed<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ";<BR>\n" );
document.write( "Time to + 1.5 hr = time to return<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1075%2Fs ALIGN=MIDDLE  ALT=\"1075%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1.5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1075%2F%28%28s-5%29%29 ALIGN=MIDDLE  ALT=\"1075%2F%28%28s-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by s(s-5), results<BR>\n" );
document.write( "1075(s-5) + 1.5s(s-5) = 1075s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1075s - 5375 + 1.5s^2 - 7.5s - 1075s = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1.5s^2 - 7.5s - 5375 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A quadratic equation, use the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this equation: x = s; a = 1.5, b = -7.5, c = -5375<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-%28-7.5%29+%2B-+sqrt%28-7.5%5E2+-+4+%2A+1.5+%2A+-5375+%29%29%2F%282%2A1.5%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-%28-7.5%29+%2B-+sqrt%28-7.5%5E2+-+4+%2A+1.5+%2A+-5375+%29%29%2F%282%2A1.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%287.5+%2B-+sqrt%2856.25+-+%28-32250%29+%29%29%2F%283%29+ ALIGN=MIDDLE  ALT=\"s+=+%287.5+%2B-+sqrt%2856.25+-+%28-32250%29+%29%29%2F%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%287.5+%2B-+sqrt%2856.25+%2B+32250+%29%29%2F%283%29+ ALIGN=MIDDLE  ALT=\"s+=+%287.5+%2B-+sqrt%2856.25+%2B+32250+%29%29%2F%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%287.5+%2B-+sqrt%2832306.25+%29%29%2F%283%29+ ALIGN=MIDDLE  ALT=\"s+=+%287.5+%2B-+sqrt%2832306.25+%29%29%2F%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions but we only want the positive one:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%287.5+%2B+179.74%29%2F%283%29+ ALIGN=MIDDLE  ALT=\"s+=+%287.5+%2B+179.74%29%2F%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+187.24%2F3+ ALIGN=MIDDLE  ALT=\"s+=+187.24%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 62.4 mph to Monroe La<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the time for each trip; return speed: 62.4 - 5 = 57.4<BR>\n" );
document.write( "1075/57.4 = 18.73 hrs<BR>\n" );
document.write( "1075/62.4 = 17.23 hrs<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "difference: 1.5 hrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );