document.write( "Question 124081: A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet? \n" ); document.write( "
Algebra.Com's Answer #91039 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A train leaves Danville Junction and travels north at a speed of 75km/hr. Two hours later, an express train leaves on a parallel track and travels north at 125km/hr. How far from the station will they meet? \n" ); document.write( ": \n" ); document.write( "Find out how many hrs until the one train overtakes the other \n" ); document.write( ": \n" ); document.write( "t = travel time of the 1st train \n" ); document.write( "then \n" ); document.write( "(t-2) = travel time of the 2nd train: \n" ); document.write( ": \n" ); document.write( "When this happens they will have traveled the same distance; \n" ); document.write( "write a distance equation: (Distance = speed * time) \n" ); document.write( ": \n" ); document.write( "2nd train dist = 1st train dist \n" ); document.write( "125(t-2) = 75t \n" ); document.write( ": \n" ); document.write( "125t - 250 = 75t \n" ); document.write( ": \n" ); document.write( "125t - 75t = + 250 \n" ); document.write( ": \n" ); document.write( "50t = 250 \n" ); document.write( "t = \n" ); document.write( "t = 5 hrs \n" ); document.write( ": \n" ); document.write( "Use this, to find the distances: \n" ); document.write( ": \n" ); document.write( "1st train: 5 * 75 = 375 mi \n" ); document.write( "and \n" ); document.write( "2nd train: 3 * 125 = 375 mi also; (confirms our solution)\r \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |