document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314775>Question 314775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train travels through the mountains at an average speed of 35 miles per hour. It then continues on flat land at an average speed of 85 miles per hour. If the entire trip covers 1200 miles and each leg of the trip takes the same number of hours, how many miles is each leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225125 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=225125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mountains - speed = 35 mph.<BR>\n" );
document.write( "let distance in mountains be x<BR>\n" );
document.write( "time traveled in mountains = x/35<BR>\n" );
document.write( "..<BR>\n" );
document.write( "speed on flat land = 85 mph<BR>\n" );
document.write( "distance travele = 1200-x miles<BR>\n" );
document.write( "time taken on flat land = 1200-x /85<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Both these times are equal.<BR>\n" );
document.write( "x/35 = 1200-x / 85<BR>\n" );
document.write( "85x=35(1200-x)<BR>\n" );
document.write( "85x =42000 -35x<BR>\n" );
document.write( "120x=42000<BR>\n" );
document.write( "x= 350 miles distance in the mountains.<BR>\n" );
document.write( "On flat land it will travel 1200-350<BR>\n" );
document.write( "=850 miles </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );