document.write( "Question 148931: Please help me put the word problem below in linear equations. Thank you so much in advance. Please help me.
\n" ); document.write( "How do I go about this with the question? \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. \n" ); document.write( "
Algebra.Com's Answer #109271 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
An express and local train leave gray's Lake at 3 P.M. and head for Chicago 50 miles away.
\n" ); document.write( "The express travels twice as fast as the local, and arrives 1 hour ahead of it. Find the speed of each train.
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\n" ); document.write( "Local Train DATA:
\n" ); document.write( "distance = 50 mi ; rate = x mph ; time = d/r = 50/x hrs.
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\n" ); document.write( "Express Train DATA:
\n" ); document.write( "distance = 50 mi ; rate = 2x mph ; time = d/r = 50/2x hrs.
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\n" ); document.write( "EQUATION:
\n" ); document.write( "local time - express time = 1 hr
\n" ); document.write( "50/x - 50/2x = 1
\n" ); document.write( "(50/x) - (1/2)(50/x) = 1
\n" ); document.write( "(1/2)(50/x) = 1
\n" ); document.write( "25/x = 1
\n" ); document.write( "x = 25 mph (speed of the local train)
\n" ); document.write( "2x = 50 mph (speed of the express train)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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