document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879591>Question 879591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motorist traveled from Town A to Town B. After traveling 13 of the distance for [4] the journey at an average speed of 45 km/h, he continued to travel another 480<BR>\n" );
document.write( "km to reach Town B. If his average speed for the entire journey was 54 km/h, what was his average speed for the last 23 of the distance? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530927 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=530927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 2nd sentence was unclear to me so I changed it to what I thought you meant.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A motorist traveled from Town A to Town B.<BR>\n" );
document.write( " After traveling 1/3 of the distance at an average speed of 45 km/h, he continued to travel another 480 km to reach Town B.<BR>\n" );
document.write( " If his average speed for the entire journey was 54 km/h, what was his average speed for the last 2/3 of the distance?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "From the information given, find the total distance (d) from  A to B<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;\" >d = 480<BR>\n" );
document.write( "2d = 480 * 3<BR>\n" );
document.write( "2d = 1440<BR>\n" );
document.write( "d = 720 km<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find 1/3 of the total <BR>\n" );
document.write( "<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;\" > * 720 = 240 km<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = ave speed for the last 2/3 of the journey<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=240%2F45 ALIGN=MIDDLE  ALT=\"240%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2Fa ALIGN=MIDDLE  ALT=\"480%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=720%2F54 ALIGN=MIDDLE  ALT=\"720%2F54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by Least common multiple, 270a<BR>\n" );
document.write( "270a*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F45 ALIGN=MIDDLE  ALT=\"240%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 270a*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2Fa ALIGN=MIDDLE  ALT=\"480%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 270a*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=720%2F54 ALIGN=MIDDLE  ALT=\"720%2F54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel the denomintors<BR>\n" );
document.write( "6a(240) + 270(480) = 5a(720)<BR>\n" );
document.write( "1440a + 129600 = 3600a<BR>\n" );
document.write( "129600 = 3600a - 1440a<BR>\n" );
document.write( "129600 = 2160a<BR>\n" );
document.write( "a = 129600/2160<BR>\n" );
document.write( "a = 60 km/hr for last 2/3 of the journey<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this, find the times<BR>\n" );
document.write( "240/45 = 5.33 hrs<BR>\n" );
document.write( "480/60 = 8.00 hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "total: = 13.33 hrs<BR>\n" );
document.write( "and <BR>\n" );
document.write( "720/54 = 13.33 hrs  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );