document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=609723>Question 609723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write and Solve an Equation, inequality, or system of equations to answer the question.\r<BR>\n" );
document.write( "\n" );
document.write( "Two Sisters left at the same time to travel home.  Susanna drove at 65 miles per hour and started 9 miles farther from home than Rachel.  Rachel drove at 55 miles per hour.  They reached home at the same time.  How far was each girl from home? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384114 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=384114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two Sisters left at the same time to travel home. <BR>\n" );
document.write( "Susanna drove at 65 miles per hour and started 9 miles farther from home than Rachel.<BR>\n" );
document.write( " Rachel drove at 55 miles per hour.<BR>\n" );
document.write( " They reached home at the same time.<BR>\n" );
document.write( " How far was each girl from home?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let d = Rachel's distance from home<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(d+9) = Susanna's distance<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "Their travel times are equal.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F55 ALIGN=MIDDLE  ALT=\"d%2F55\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d%2B9%29%29%2F65 ALIGN=MIDDLE  ALT=\"%28%28d%2B9%29%29%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "65d = 55(d+9)<BR>\n" );
document.write( "65d = 55d + 495<BR>\n" );
document.write( "65d - 55d = 495<BR>\n" );
document.write( "10d = 495<BR>\n" );
document.write( "d = 495/10<BR>\n" );
document.write( "d = 49.5 mi, R's distance<BR>\n" );
document.write( "then<BR>\n" );
document.write( "49.5 + 9 = 58.5 mi, S's distance<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out; find the time of each; they should be equal.<BR>\n" );
document.write( "49.5/55 = .9 hrs<BR>\n" );
document.write( "58.5/65 = .9 hrs<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );