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)\"\" \"About 
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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
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\n" ); document.write( "Write a time equation: Time = \"dist%2Fspeed\"
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\n" ); document.write( "Slow train time = Fast train time + 2.5 hrs
\n" ); document.write( "\"d%2F50\" = \"d%2F90\" + 2.5
\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 = \"1125%2F4\"
\n" ); document.write( "d = 281.25
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