document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185319>Question 1185319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Wilma drove at an average speed of 45 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 50 mi/h. She returned home 48 hours after leaving. How many miles is City A from City B?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816139 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "First a standard algebraic setup for solving the problem....<br><BR>\n" );
document.write( "d = distance between A and B<br><BR>\n" );
document.write( "time going from A to B: d/45<BR>\n" );
document.write( "time going from B to A: d/50<br><BR>\n" );
document.write( "Total driving time: 48-10=38<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F45%2Bd%2F50=38 ALIGN=MIDDLE  ALT=\"d%2F45%2Bd%2F50=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra; probably start by multiplying both sides by a common denominator to clear fractions.<br><BR>\n" );
document.write( "I leave it to you to finish solving the problem by that method.<br><BR>\n" );
document.write( "Here is a very different way of solving the problem....<br><BR>\n" );
document.write( "The distances both directions are the same; the ratio of speeds is 50:45=10:9.  That means the ratio of times spent at the two speeds is 9:10.<br><BR>\n" );
document.write( "So let the time at 50mph be 9x and the time at 45mph be 10x.<br><BR>\n" );
document.write( "The total time is 38 hours:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B10x=38 ALIGN=MIDDLE  ALT=\"9x%2B10x=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x=38 ALIGN=MIDDLE  ALT=\"19x=38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The time at 50mph is 9x=18 hours; that means the distance between A and B is 50(18)=900 miles.<br><BR>\n" );
document.write( "Note also the time at 45mph is 10x=20 hours, which means the distance between A and B is 45(20)=900 miles -- which of course agrees with the answer we already found.<br><BR>\n" );
document.write( " </SPAN>\n" );
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