document.write( "Question 698981: The speed of a freight train is 14 km/h slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #431191 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! speed of a freight train is 14 km/h slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of each train. \n" ); document.write( "--------------- \n" ); document.write( "Freight train DATA: \n" ); document.write( "rate = x-14 kmh; distance = 330 km ;time = d/r = 330/(x-14) hrs \n" ); document.write( "------ \n" ); document.write( "Passenger Train DATA: \n" ); document.write( "rate = x km/h ; distance 400 km ; time = d/r = 400/x hrs \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "330/(x-14) = 400/x \n" ); document.write( "----- \n" ); document.write( "330x = 400x - 14*400 \n" ); document.write( "70x = 14*400 \n" ); document.write( "x = 80 km/h (speed of the passenger train) \n" ); document.write( "--- \n" ); document.write( "x-14 = 66 km/h (speed of the freight train) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |