document.write( "Question 255571: a car leaves a train station traveling west at a speed of 40 kilometers per hour. a train leaves the station three hours later traveling west at a rate of 120 kilometers per hour. in how many hours will the train catch up to the car? \n" ); document.write( "
Algebra.Com's Answer #187797 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! Let the time taken by tne train to meet the car be t hours \n" ); document.write( "The speed of the train = 120 kmph \n" ); document.write( "The distance travelled by the train in t hours = 120t \n" ); document.write( "The time taken by tne car to meet the train is (t+3) hours \n" ); document.write( "The speed of the train = 40 kmph \n" ); document.write( "The distance travelled by the car in (t+3) hours = 40(t+3) \n" ); document.write( "When they meet both distances are equal \n" ); document.write( " 120t = 40(t+3) \n" ); document.write( " 120t = 40t+120 \n" ); document.write( " 120t-40t = 120 \n" ); document.write( " 80t = 120 \n" ); document.write( " t = 120/80 \n" ); document.write( " t = 1h 30 m \n" ); document.write( " \n" ); document.write( " |