document.write( "Question 489169: The speed of a passenger train is 14mph faster than the speed of a freight train. The passenger train travels 400miles in the same time it takes the freight train to travel 330miles. Find the speed of each train? \n" ); document.write( "
Algebra.Com's Answer #333574 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 400miles in the same time it takes the freight train to travel 330miles. Find the speed of each train? \n" ); document.write( "------------ \n" ); document.write( "Freight train DATA: \n" ); document.write( "distance = 330 miles ; rate = x mph ; time = 330/x hrs \n" ); document.write( "--------------------------------------- \n" ); document.write( "Passenger train DATA: \n" ); document.write( "distance = 400 miles ; rate = x+14 mph ; time = 400/(x+14) hrs \n" ); document.write( "----------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "330/x = 400/(x+14) \n" ); document.write( "400x = 330x + 14*330 \n" ); document.write( "---- \n" ); document.write( "70x = 14*330 \n" ); document.write( "x = (1/5)(330) \n" ); document.write( "x = 66 mph (freight speed) \n" ); document.write( "x+14 = 80 mph (passenger speed) \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " \n" ); document.write( " |