document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=340067>Question 340067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sue drove at a rate of 45 mph from her home to her sister's house. she spent 1 1/2 hours having lunch with her sister. she then drove back home at a rate of 55 mph. the entire trip including lunch took 4 hours. how far does sue live from her sister? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243754 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=243754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sue drove at a rate of 45 mph from her home to her sister's house.<BR>\n" );
document.write( " she spent 1 1/2 hours having lunch with her sister.<BR>\n" );
document.write( " she then drove back home at a rate of 55 mph. the entire trip including lunch took 4 hours.<BR>\n" );
document.write( " how far does sue live from her sister?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We are only interested in her travel time: 4 - 1.5 = 2.5 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = distance to sisters house (and back)<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=d%2F45 ALIGN=MIDDLE  ALT=\"d%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <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;\" > = 2.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply by 2475 (that's 45*55) to get rid of the denominators, results<BR>\n" );
document.write( "55d + 45d = 2475(2.5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "100d = 6187.5<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6187.5%2F100 ALIGN=MIDDLE  ALT=\"6187.5%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 61.875 ~ 62 miles<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the time each way<BR>\n" );
document.write( "62/45 = 1.38 hrs<BR>\n" );
document.write( "62/55 = 1.13 hrs<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "total: 2.51 hrs, close enough </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );