document.write( "Question 151989: A passenger train's speed is 60mi/h, and a freight train's speed is 40mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip? \n" ); document.write( "
Algebra.Com's Answer #111812 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A passenger train's speed is 60mi/h, and a freight train's speed is 40mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip? \n" ); document.write( ": \n" ); document.write( "Let t = freight train time \n" ); document.write( "then \n" ); document.write( "(t-1.5) = Passenger train time \n" ); document.write( "; \n" ); document.write( "Write a distance equation: Dist = speed * time \n" ); document.write( ": \n" ); document.write( "Pass dist = Freight dist \n" ); document.write( "60(t-1.5) = 40t \n" ); document.write( "60t - 90 = 40t \n" ); document.write( "60t - 40t = 90 \n" ); document.write( "20t = 90 \n" ); document.write( "t = \n" ); document.write( "t = 4.5 hrs for freight \n" ); document.write( "and \n" ); document.write( "4.5 - 15 = 3 hr for the passenger train \n" ); document.write( ": \n" ); document.write( "Check solution by confirming the dist on both trains \n" ); document.write( "40 * 4.5 = 180 mi \n" ); document.write( "60 * 3 = 180 mi \n" ); document.write( " |