document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328366>Question 328366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the speed of a passenger train is 6 mph faster than the sppeed of a freight train. the passenger train travels 300 miles in the same time it takes the freight train to travel 270 miles. find the speed of each train. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235200 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=235200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let freight train speed be x mph<BR>\n" );
document.write( "passanger train will be x+6 mph<BR>\n" );
document.write( "..<BR>\n" );
document.write( "distance traveled by freight train =270 miles<BR>\n" );
document.write( "passanger train travels 300 miles.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Time taken by freight train = 270/x<BR>\n" );
document.write( "time taken by passenger train = 300/x+6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "the times are same<BR>\n" );
document.write( "270/x = 300(x+6)<BR>\n" );
document.write( "270(x+6)=300x<BR>\n" );
document.write( "270x+1620=300x<BR>\n" );
document.write( "300x-270x=1620<BR>\n" );
document.write( "30x= 1620<BR>\n" );
document.write( "x=1620/30<BR>\n" );
document.write( "x=54 mph speed of freight train<BR>\n" );
document.write( "passanger train speed = x+6 = 54+6 = 60 mph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );