document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202491>Question 1202491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The express train made the trip in 20 hours. The freight train took 25 hours because it was 10 miles per hour slower than the express train. What was the speed of each train? </SPAN>\n" );
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document.write( "The distances are the same, and the ratio of the two times is 4:5, so the ratio of the two speeds is 5:4.<br><BR>\n" );
document.write( "Simple reasoning says that, since the difference in the two speeds is 10 mph, the two speeds are 50 mph and 40 mph.<br><BR>\n" );
document.write( "More formally, using the 5:4 ratio of the speeds....<br><BR>\n" );
document.write( "Let 5x be the speed of the express train<BR>\n" );
document.write( "Let 4x be the speed of the freight train<br><BR>\n" );
document.write( "The express train is 10 mph faster than the freight train:<br><BR>\n" );
document.write( "5x-4x=10<BR>\n" );
document.write( "x=10<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "freight train speed = 4x = 40 mph<BR>\n" );
document.write( "express train speed = 5x = 50 mph<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );