document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058176>Question 1058176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A truck traveled the first 100 miles of a trip at one speed and the last 135 miles at an average speed of 5 miles per hour less. The entire trip took 5 hours. What was the average speed for the first part 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 #673210 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 100 miles at x mph, and the time was 100/x hours. Speed*time=distance.<BR>\n" );
document.write( "135 miles at (x-5) mph, and the time was 135/(x-5). <BR>\n" );
document.write( "Those two add to 5.<BR>\n" );
document.write( "(100/x)+(135/(x-5)=5<BR>\n" );
document.write( "multiply everything by x*(x-5)<BR>\n" );
document.write( "100(x-5)+135x=5x^2-25x<BR>\n" );
document.write( "100x-500+135x=5x^2-25x<BR>\n" );
document.write( "5x^2-260x+500=0<BR>\n" );
document.write( "x^2-52x+100=0, dividing everything by 5<BR>\n" );
document.write( "(x-2)(x-50)=0<BR>\n" );
document.write( "x=2,50, only 50 makes sense<BR>\n" );
document.write( "Truck went 50 mph for the first two hours ANSWER<BR>\n" );
document.write( "It went 45 mph for the next 3 hours, or 135 miles.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );