document.write( "Question 229669: An express train travels 90 km per hour from A to B. A local train takes 2.5 hours longer to travel the same distance at 50 km per hour. How far apart are A and B? I know the answer is 281.25 but how is the problem set up? \n" ); document.write( "
Algebra.Com's Answer #170267 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An express train travels 90 km per hour from A to B. \n" ); document.write( " A local train takes 2.5 hours longer to travel the same distance at 50 km per hour. \n" ); document.write( "How far apart are A and B? \n" ); document.write( ": \n" ); document.write( "Let d = dist from A to B \n" ); document.write( "; \n" ); document.write( "Write a time equation: Time = \n" ); document.write( ": \n" ); document.write( "Slow train time = Fast train time + 2.5 hrs \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiply equation by 450 to get rid of the denominators, results \n" ); document.write( "9d = 5d + 2.5(450) \n" ); document.write( "9d - 5d = 1125 \n" ); document.write( "4d = 1125 \n" ); document.write( "d = \n" ); document.write( "d = 281.25 \n" ); document.write( " |