document.write( "Question 396886: The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train. \n" ); document.write( "
Algebra.Com's Answer #281417 by stanbon(75887)\"\" \"About 
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The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train.
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\n" ); document.write( "Passenger train DATA:
\n" ); document.write( "distance = 300 miles ; rate = x+10 mph ; time = 300/(x+10) hrs.
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\n" ); document.write( "Freight train DATA:
\n" ); document.write( "distance = 250 miles ; rate = x mph ; time = 250/x hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "time = time
\n" ); document.write( "300/(x+10) = 250/x
\n" ); document.write( "---
\n" ); document.write( "6/(x+10) = 5/x
\n" ); document.write( "6x = 5x + 50
\n" ); document.write( "x = 50 (rate of the freight train)
\n" ); document.write( "x+10 = 60 (rate of the passenger train)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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