document.write( "Question 152521: Hi,\r
\n" ); document.write( "\n" ); document.write( "How would I solve the following: Applications of Linear Equations \r
\n" ); document.write( "\n" ); document.write( "An express and local train leave Gray’s Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train. \r
\n" ); document.write( "\n" ); document.write( "Thank you so much for your help.\r
\n" ); document.write( "\n" ); document.write( "Sally
\n" ); document.write( "

Algebra.Com's Answer #112100 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Rate times time equals distance.
\n" ); document.write( "The express train travels at a rate of \"R%5Be%5D\" and takes \"t%5Be%5D\" to travel the 50 miles.
\n" ); document.write( "1.\"R%5Be%5D%2At%5Be%5D=50\"
\n" ); document.write( "The local train travels at a rate of \"R%5Bl%5D\" and takes \"t%5Bl%5D\" to travel the 50 miles.
\n" ); document.write( "2.\"R%5Bl%5D%2At%5Bl%5D=50\"
\n" ); document.write( "You also know that the rate of the express train is twice the rate of the local train.
\n" ); document.write( "\"R%5Be%5D=2%2AR%5Bl%5D\"
\n" ); document.write( "And finally you know that the local train arrived 1 hour after the express train.
\n" ); document.write( "\"t%5Bl%5D=t%5Be%5D%2B1\"
\n" ); document.write( "From 2,
\n" ); document.write( "2.\"R%5Bl%5D%2At%5Bl%5D=50\"
\n" ); document.write( "Substitute for \"R%5Bl%5D\" and \"t%5Bl%5D\"
\n" ); document.write( "2.\"R%5Bl%5D%2At%5Bl%5D=50\"
\n" ); document.write( "\"%281%2F2%29%2AR%5Be%5D%2A%28t%5Be%5D%2B1%29=50\"
\n" ); document.write( "\"R%5Be%5D%2A%28t%5Be%5D%2B1%29=100\"
\n" ); document.write( "\"R%5Be%5D%2At%5Be%5D%2BR%5Be%5D=100\"
\n" ); document.write( "From 1, you know that \"R%5Be%5D%2At%5Be%5D=50\"
\n" ); document.write( "\"R%5Be%5D%2At%5Be%5D%2BR%5Be%5D=100\"
\n" ); document.write( "\"50%2BR%5Be%5D=100\"
\n" ); document.write( "\"R%5Be%5D=50\"
\n" ); document.write( "The express train travels at 50 miles per hour.
\n" ); document.write( "From 1,
\n" ); document.write( "\"R%5Be%5D%2At%5Be%5D=50\"
\n" ); document.write( "\"50%2At%5Be%5D=50\"
\n" ); document.write( "\"t%5Be%5D=1\"
\n" ); document.write( "The express train takes 1 hour to reach Chicago.
\n" ); document.write( "\"R%5Be%5D=2%2AR%5Bl%5D\"
\n" ); document.write( "\"50=2%2AR%5Bl%5D\"
\n" ); document.write( "\"R%5Bl%5D=25\"
\n" ); document.write( "The local train travels 25 miles per hour.
\n" ); document.write( "\"t%5Bl%5D=t%5Be%5D%2B1\"
\n" ); document.write( "\"t%5Bl%5D=1%2B1\"
\n" ); document.write( "\"t%5Bl%5D=2\"
\n" ); document.write( "The local train takes 2 hours to reach Chicago.
\n" ); document.write( "
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