document.write( "Question 536647: A freight train traveling 100km/h took 48s to pass a motorcyclist going in the same direction at 40km/h. Assuming the length of the motorcycle is negligible, find the length of the train. If the train and the motorcycle were traveling in opposite directions, find to the nearest second how long they would have taken to pass each other completely. \n" ); document.write( "
Algebra.Com's Answer #352496 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Train speed = 100 kph \n" ); document.write( "Motorcycle speed = 40 kph\r \n" ); document.write( "\n" ); document.write( "They are moving in same direction \n" ); document.write( "so effective speed = 100-40 = 60 kph\r \n" ); document.write( "\n" ); document.write( "Time = 48 seconds \n" ); document.write( "=48/3600 hours (1 hour = 3600 seconds)\r \n" ); document.write( "\n" ); document.write( "d=speed * time \n" ); document.write( "D= 60*48/3600 \n" ); document.write( "=0.8 km or 800 meters\r \n" ); document.write( "\n" ); document.write( "Towards each other \n" ); document.write( "Add up speeds \n" ); document.write( "effective speed = 140 kph \n" ); document.write( "The length of train is the distance they have to travel to pass one another \n" ); document.write( "distance = 0.8 km \n" ); document.write( "time = distance / speed \n" ); document.write( "time = 0.8/140 \n" ); document.write( "time=0.0057 hours \n" ); document.write( "convert to seconds \n" ); document.write( "0.0057*3600 \n" ); document.write( "= 20.57 seconds\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |