document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990904>Question 990904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kiran drove from Tortula to Cactus, a distance of 212 mi. She increased her speed by 13 mi/h for the 385 mi trip from Cactus to Dry Junction. If the total trip took 10 h, what was her speed from Tortula to Cactus? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610896 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=610896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Kiran drove from Tortula to Cactus, a distance of 212 mi.<BR>\n" );
document.write( " She increased her speed by 13 mi/h for the 385 mi trip from Cactus to Dry Junction.<BR>\n" );
document.write( " If the total trip took 10 h, what was her speed from Tortula to Cactus?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = speed from T to C<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+13) = speed from C to D<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=212%2Fs ALIGN=MIDDLE  ALT=\"212%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=385%2F%28%28s%2B13%29%29 ALIGN=MIDDLE  ALT=\"385%2F%28%28s%2B13%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10 hrs<BR>\n" );
document.write( "multiply equation by s(s+13)<BR>\n" );
document.write( "s(s+13)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=212%2Fs ALIGN=MIDDLE  ALT=\"212%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + s(s+13)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=385%2F%28%28s%2B13%29%29 ALIGN=MIDDLE  ALT=\"385%2F%28%28s%2B13%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10s(s+13)<BR>\n" );
document.write( "Cancel the denominators<BR>\n" );
document.write( "212(s+13) + 385s = 10s^2 + 130s <BR>\n" );
document.write( "212s + 2756 + 385s = 10s^2 + 130s<BR>\n" );
document.write( "597s + 2756 = 10s^2 + 130s<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "10s^2 + 130s - 597s - 2756 = 0<BR>\n" );
document.write( "10s^2 - 467s - 2756 = 0<BR>\n" );
document.write( "Use the quadratic formula to find s: a=10; b=-467; c=-2756<BR>\n" );
document.write( "I got a positive solution of 52 mph from T to C<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "you can check this for yourself<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=212%2F52 ALIGN=MIDDLE  ALT=\"212%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=385%2F65 ALIGN=MIDDLE  ALT=\"385%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  </SPAN>\n" );
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