document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630689>Question 630689</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A high school student in Seattle, Washington, attends the University of Central Florida. On the way to UCF he took a southern route. After graduation he returned to Seattle via a northern trip. On both trips he had the same average speed. If the southern trek took 47 hours, the northern trek took 52 hours, the northern trek was 310 miles longer, how long was each trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397171 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=397171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A high school student in Seattle, Washington, attends the University of Central Florida.<BR>\n" );
document.write( " On the way to UCF he took a southern route.<BR>\n" );
document.write( " After graduation he returned to Seattle via a northern trip.<BR>\n" );
document.write( " On both trips he had the same average speed.<BR>\n" );
document.write( " If the southern trek took 47 hours, the northern trek took 52 hours,<BR>\n" );
document.write( " the northern trek was 310 miles longer, how long was each trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = the southern distance<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(d+310) = the northern distance<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a speed equation. Speed = dist/time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Northern speed = southern speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2B310%29%2F52 ALIGN=MIDDLE  ALT=\"%28d%2B310%29%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F47 ALIGN=MIDDLE  ALT=\"d%2F47\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply <BR>\n" );
document.write( "52d = 47(d+310)<BR>\n" );
document.write( "52d = 47d + 14750<BR>\n" );
document.write( "52d - 47d = 14750<BR>\n" );
document.write( "d = 14750/5<BR>\n" );
document.write( "d = 2,914 mi is the southern route<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2,914 + 310 = 3,224 mi is the northern route<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can confirm this by finding the speeds, they should be equal<BR>\n" );
document.write( "2914/47 = 62 mph<BR>\n" );
document.write( "3224/52 = 62 mph </SPAN>\n" );
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