document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164293>Question 1164293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> amanda drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Amanda drove home, there was no traffic and the trip only took 5 hours. If her average rate was 18 miles per hour faster on the trip home, how far away does Amanda live from the mountains? </SPAN>\n" );
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document.write( "The distances there and back are the same.  So, because the ratio of times was 7:5, the ratio of speeds was 5:7.<br><BR>\n" );
document.write( "Given that ratio, let the speed going be 5x and the speed returning be 7x.  The difference in speeds, 7x-5x=2x, was 18mph; so x=9.<br><BR>\n" );
document.write( "So her speed going was 5x=45mph and her speed returning was 7x=63mph.<br><BR>\n" );
document.write( "The distance for each trip was then 45*7 = 315 miles, or 63*5 = 315 miles.<br><BR>\n" );
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