document.write( "Question 192875: An express train and a local train both leave Gray’s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train. \r
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Algebra.Com's Answer #144774 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An express train and a local train both leave Gray’s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train. \n" ); document.write( "------------------------- \n" ); document.write( "Express DATA: \n" ); document.write( "distance = 60 miles ; rate = 2x mph ; time = d/r = 60/2x = 30/x hr. \n" ); document.write( "------------------------ \n" ); document.write( "Local DATA: \n" ); document.write( "distance = 60 miles ; rate = x mph ; time = 60/x hr. \n" ); document.write( "------------------------ \n" ); document.write( "Equation: \n" ); document.write( "local train time - express train time = 2 hrs \n" ); document.write( "60/x - 30/x = 2 \n" ); document.write( "60 - 30 = 2x \n" ); document.write( "2x = 30 \n" ); document.write( "x = 15 mph (local train speed) \n" ); document.write( "2x = 30 mph (express train speed) \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |