document.write( "Question 183657: A metra commuter train leaves union station at noon. 2 hour later , an Amtrak train leaves on the same track, traveling at an average speed that is 50 m/ph faster than the metra train. at 3 pm the amtrak train is 10 miles behind the commuter train. How fast is each going? \r
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Algebra.Com's Answer #137848 by stanbon(75887)\"\" \"About 
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A metro commuter train leaves union station at noon.
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\n" ); document.write( "2 hours later an Amtrak train leaves on the same track, traveling at an average speed that is 50 m/ph faster than the metro train.
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\n" ); document.write( "at 3 pm the amtrak train is 10 miles behind the commuter train. How fast is each going?
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\n" ); document.write( "Amtrak DATA:
\n" ); document.write( "rate = x+50 mph ; time = 1 hr. ; distance = tr = x+50 miles
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\n" ); document.write( "Metro DATA:
\n" ); document.write( "rate = x mph ; time = 3 hr. ; distance = tr = 3x miles
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\n" ); document.write( "Equation:
\n" ); document.write( "Metro dist. - Amtrak dist. = 10 miles
\n" ); document.write( "3x - (x+50) = 10
\n" ); document.write( "2x - 50 = 10
\n" ); document.write( "2x = 60
\n" ); document.write( "x = 30 mph (speed of the Metro train)
\n" ); document.write( "x+50 = 80 mph (speed of the Amtrak train\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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