document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024620>Question 1024620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A passenger train travels 100 mph faster than a car.  In the time it takes the car to travel 140 miles, the train can travel 340 miles.  Find the speed of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640010 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the rate of the car, r.<BR>\n" );
document.write( "Then the rate of the train is r+100.<BR>\n" );
document.write( "Since rt=d, we know time = distance over rate, or t = d/r.<BR>\n" );
document.write( "And since the times are equal, we can write<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140%2Fr+=+340%2F%28r%2B100%29 ALIGN=MIDDLE  ALT=\"140%2Fr+=+340%2F%28r%2B100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now cross-multiply and solve...<BR>\n" );
document.write( "340r = 140(r+100)<BR>\n" );
document.write( "340r = 140r + 14000<BR>\n" );
document.write( "200r = 14000<BR>\n" );
document.write( "r = 70 miles per hour<BR>\n" );
document.write( "r+100 = 170 miles per hour  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );