document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209421>Question 1209421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Car A starts in Sacramento at 11am. It travels along a 400 mile route to Los Angeles at 60 mph. Car B starts from Los Angeles at noon and travels to Sacramento along the same route at 75 mph. The route goes past Fresno which is 150 miles along the route from Los Angeles. How far from Fresno are the cars when they meet? </SPAN>\n" );
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document.write( "Between 11am and noon, car A travels 60 miles (1 hour at 60mph). So at noon, when car B starts traveling, the two cars are 400-60 = 340 miles apart.<br><BR>\n" );
document.write( "The ratio of the speeds of the two cars is 60:75 = 4:5, so when the cars meet car A has traveled 4/9 of the remaining 340 miles and car B has traveled 5/9 of that distance.<br><BR>\n" );
document.write( "So the distance from Los Angeles that car B is when the cars meet is 5/9 of 340 miles.<br><BR>\n" );
document.write( "(5/9)340 = 1700/9<br><BR>\n" );
document.write( "Car B is 1700/9 miles from Los Angeles when the cars meet, and Fresno is 150 miles from Los Angeles. The distance from Fresno when the cars meet is then<br><BR>\n" );
document.write( "1700/9 - 150 = 1700/9 - 1350/9 = 350/9 = 38 8/9 miles or about 38.9 miles.<br><BR>\n" );
document.write( "ANSWER: The two cars are (about) 38.9 miles north of Fresno when the cars meet.<br><BR>\n" );
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