document.write( "Question 153325: An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train. \r
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Algebra.Com's Answer #112864 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train. \r \n" ); document.write( "\n" ); document.write( "-------------------------------- \n" ); document.write( "Local train DATA: \n" ); document.write( "rate = x mph ; distance = 50 miles ; time = 50/x hrs \n" ); document.write( "---------------- \n" ); document.write( "Express train DATA: \n" ); document.write( "rate = 2x mph ; distance = 50 miles ; time = 50/2x hrs \n" ); document.write( "---------------- \n" ); document.write( "EQUATION: \n" ); document.write( "local train time - express train time = 1 hr \n" ); document.write( "50/x - 50/2x = 1 \n" ); document.write( "Multiply thru by 2x to get: \n" ); document.write( "100 - 50 = 2x \n" ); document.write( "2x = 50 \n" ); document.write( "x = 25 mph (local train speed) \n" ); document.write( "2x = 50 mph (express train speed) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |