document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030976>Question 1030976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motorist traveled from Town A to Town B. After traveling one third of the distance for the journey at an average speed of 45 km/h, he continued to travel another 480 km to reach Town B. If his average speed for the entire journey was 54 km/h, what was his average speed for at least two thirds 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 #645717 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=645717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A motorist traveled from Town A to Town B.<BR>\n" );
document.write( " After traveling one third of the distance for the journey 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 at last two thirds of the distance?<BR>\n" );
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document.write( "From the information given we know the first third distance was half the distance of the last two thirds: 480/2 = 240km <BR>\n" );
document.write( "The total dist: 240 + 480  = 720km<BR>\n" );
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document.write( "let s = speed for the last 2/3 dist<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
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document.write( "Time at 45 + time at s = total time<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%2Fs ALIGN=MIDDLE  ALT=\"480%2Fs\"   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 the least common denominator, 270s<BR>\n" );
document.write( "270s*<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;\" > + 270s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2Fs ALIGN=MIDDLE  ALT=\"480%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 270s*<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 denominators<BR>\n" );
document.write( "6s(240) + 270(480) = 5s(720)<BR>\n" );
document.write( "1440s + 129600 = 3600s<BR>\n" );
document.write( "129600 = 3600s - 1440s<BR>\n" );
document.write( "129600 = 2160s<BR>\n" );
document.write( "s = 129600/2160<BR>\n" );
document.write( "s = 60 km/hr for final 2/3 of the trip<BR>\n" );
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document.write( ";<BR>\n" );
document.write( "See if that checks out<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%2F60 ALIGN=MIDDLE  ALT=\"480%2F60\"   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( "5.33 + 8 = 13.33 hrs </SPAN>\n" );
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