document.write( "Question 149089: How do I put this word problem into a quadratic equation or set it up?\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( "I know that distance equals rate times time but on all else I am confused to say the least. Any info you can offer will be greatly appreciated.
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Algebra.Com's Answer #109358 by ankor@dixie-net.com(22740)\"\" \"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. 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( "The time they left is irrelevant to the problem
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\n" ); document.write( "Let s = speed of the local
\n" ); document.write( "then
\n" ); document.write( "2s = speed of the express
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\n" ); document.write( "Write a time equation: Time = \"dist%2Fspeed\"
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\n" ); document.write( "Express time + 1 hr = Local time
\n" ); document.write( "\"50%2F%282s%29\" + 1 = \"50%2Fs\"
\n" ); document.write( "Get rid of the denominators, mult equation by 2s; results:
\n" ); document.write( "50 + 2s = 2(50)
\n" ); document.write( "2s = 100 - 50
\n" ); document.write( "2s = 50
\n" ); document.write( "s = \"50%2F2\"
\n" ); document.write( "s = 25 mph speed of the local
\n" ); document.write( "then
\n" ); document.write( "50 mph speed of the express
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\n" ); document.write( "Check solution
\n" ); document.write( "\"50%2F50\" + 1 = \"50%2F25\"
\n" ); document.write( "1 + 1 = 2
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