document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241089>Question 241089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rachel allows herself 1 hr to reach a sales appointment 50 miles away. After she has driven 30 miles, she realizes that she must increase her speed by 15 mph in order to get there on time. What was her speed for the first 30 miles?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176587 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=176587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rachel allows herself 1 hr to reach a sales appointment 50 miles away.<BR>\n" );
document.write( " After she has driven 30 miles, she realizes that she must increase her speed by 15 mph in order to get there on time.<BR>\n" );
document.write( "What was her speed for the first 30 miles? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = speed for the 1st 30 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+15) = speed for the last 20 miles<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( "1st 30 mi time + last 20 mi time = 1 hour<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fs ALIGN=MIDDLE  ALT=\"30%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F%28%28s%2B15%29%29 ALIGN=MIDDLE  ALT=\"20%2F%28%28s%2B15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by s(s+15), results<BR>\n" );
document.write( "30(s+15) + 20s = s(s+15)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "30s + 450 + 20s = s^2 + 15s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "50s + 450 = s^2 + 15s<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "0 = s^2 + 15s - 50s - 450<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s^2 - 35s - 450 = 0<BR>\n" );
document.write( "Factor <BR>\n" );
document.write( "(s - 45)(s + 10) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "s = 45 mph for the 1st 30 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "45 + 15 = 60 mph for the last 20 mi<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that adds up<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F45 ALIGN=MIDDLE  ALT=\"30%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F60 ALIGN=MIDDLE  ALT=\"20%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 hr<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );