document.write( "Question 367191: A train travels 160km in the same time that a plane covers 448km. If the speed of the plane is 10km per hr less than3 times the speed of the train, find both speeds. \n" ); document.write( "
Algebra.Com's Answer #261781 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A train travels 160km in the same time that a plane covers 448km. If the speed of the plane is 10km per hr less than3 times the speed of the train, find both speeds. \n" ); document.write( "--------------- \n" ); document.write( "Train DATA: \n" ); document.write( "distance = 160 km ; rate = x km/h ; time = 160/x hrs \n" ); document.write( "-------------- \n" ); document.write( "Plane DATA: \n" ); document.write( "distance = 448 km ; rate = 3x-10 km/h; time = 448/(3x-10) hrs \n" ); document.write( "-------------- \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "160/x = 448/(3x-10) \n" ); document.write( "160(3x-10) = 448x \n" ); document.write( "480x - 1600 = 448x \n" ); document.write( "32x = 1600 \n" ); document.write( "x = 50 km/h (train rate) \n" ); document.write( "3x-10 = 140 km/h (plane rate) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |