document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=358406>Question 358406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car traveled the first 100 kilometers of a trip at one<BR>\n" );
document.write( "speed and the last 135 kilometers at an average of<BR>\n" );
document.write( "5 kilometers per hour less. If the entire trip took 5 hours,<BR>\n" );
document.write( "what was the average speed of the car for the first part<BR>\n" );
document.write( "of the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255781 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=255781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A car traveled the first 100 kilometers of a trip at one<BR>\n" );
document.write( "speed and the last 135 kilometers at an average of<BR>\n" );
document.write( "5 kilometers per hour less. If the entire trip took 5 hours,<BR>\n" );
document.write( "what was the average speed of the car for the first part<BR>\n" );
document.write( "..<BR>\n" );
document.write( "first part 100 km -----------x km/h<BR>\n" );
document.write( "second part 135 km---------- x-5 km/h\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "time first part + time second part = 5 hours<BR>\n" );
document.write( "100/x + 135/(x-5)= 5<BR>\n" );
document.write( "100(x-5)+135x /x(x-5)=5<BR>\n" );
document.write( "100(x-5)+135x =x(x-5)*5<BR>\n" );
document.write( "100x-500+135x=5x^2-25x<BR>\n" );
document.write( "5x^2-260x+500=0<BR>\n" );
document.write( "/5<BR>\n" );
document.write( "x^2-52x+100=0<BR>\n" );
document.write( "x^2-50x-2x+100=0<BR>\n" );
document.write( "x(x-50)-2(x-50)=0<BR>\n" );
document.write( "(x-50)(x-2)=0<BR>\n" );
document.write( "x=2 OR 50 km/h\r<BR>\n" );
document.write( "\n" );
document.write( "speed = 50 m/h<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );