document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205689>Question 1205689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train travels from city A to city B and then to city C. The distance from A to B is 175 miles and the distance from B to C is 130 miles. The average speed from A to B was 50 miles per hour, and the average speed from B to C was 65 mph. What was the average speed from A to C (that is for the entire trip) in miles per hour?\r<BR>\n" );
document.write( "\n" );
document.write( "The average speed was how many miles per hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842659 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> distance from A to B is 175 miles.<BR>\n" );
document.write( "distance from B to C is 130 miles.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "distance from A to C is 175 + 130 = 305 miles.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "rate * time = distance.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "from A to B, the rate is 50 miles per hour, so you get 50 * time = 175.<BR>\n" );
document.write( "solve for time to get time = 175 / 50 = 3.5 hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "from B to C, the rate is 65 miles per hour, so you get 65 * time = 130.<BR>\n" );
document.write( "solve for time to get time = 130 / 65 = 2 hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "total time from A to C is 5.5 hours.<BR>\n" );
document.write( "total distance is 305 miles.<BR>\n" );
document.write( "rate * time = distance becomes rate * 5.5 = 305.<BR>\n" );
document.write( "solve for rate to get rate = 305 / 5.5 = 55.454545..... miles per hour.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's the average speed for the whole trip from A to C.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "as a fraction, that becomes 610/11 miles per hour which is equivalent to 55 and  5/11 miles per hour.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "round 55.454545..... as required for your answer if fractional answers are not considered.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );