document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175451>Question 175451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A passenger train travels 392 mi in the same time that it takes a freight train to<BR>\n" );
document.write( "travel 322 mi. If the passenger train travels 20 mi/h faster than the freight train,<BR>\n" );
document.write( "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 #130523 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A passenger train travels 392 mi in the same time that it takes a freight<BR>\n" );
document.write( " train to travel 322 mi. If the passenger train travels 20 mi/h faster than<BR>\n" );
document.write( " the freight train, find the speed of each train.<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let s = speed of the freight<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+20) = speed of the passenger train<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Since the problems states the times are equal, write a time equation<BR>\n" );
document.write( "Time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Pass time = freight time<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=392%2F%28%28s%2B20%29%29 ALIGN=MIDDLE  ALT=\"392%2F%28%28s%2B20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=322%2Fs ALIGN=MIDDLE  ALT=\"322%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "392s = 322(s+20)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "392s = 322s + 6440<BR>\n" );
document.write( ":<BR>\n" );
document.write( "392s - 322s = 6440<BR>\n" );
document.write( ":<BR>\n" );
document.write( "70s = 6440<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6440%2F70 ALIGN=MIDDLE  ALT=\"6440%2F70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 92 mph is the freight<BR>\n" );
document.write( "then<BR>\n" );
document.write( "92 + 20 = 112 mph is the passenger train<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the times of each<BR>\n" );
document.write( "392/112 = 3.5 hrs<BR>\n" );
document.write( "322/92 = 3.5 hrs<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );