document.write( "Question 65327: A passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. If the speed of the passenger train is 25 mi/hr faster than the speed of the freight train, find the speed of each. Make sure in the right hand column you give the speeds of each train.\r
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Algebra.Com's Answer #45892 by 303795(602)\"\" \"About 
You can put this solution on YOUR website!
Freight train speed =x so the speed of the passenger train is x + 25
\n" ); document.write( "Time = distance/speed so
\n" ); document.write( "\"325%2F%28x%2B25%29=200%2Fx\"
\n" ); document.write( "Multiply each side by x
\n" ); document.write( "\"325x%2F%28x%2B25%29=200\"
\n" ); document.write( "Multiply each side by (x+25)
\n" ); document.write( "\"325x=200%28x%2B25%29\"
\n" ); document.write( "\"325x=200x%2B5000%29\"
\n" ); document.write( "Subtract 200x from each side
\n" ); document.write( "\"125x=5000%29\"
\n" ); document.write( "x=5000/125
\n" ); document.write( "=40 mile per hour and the passenger train speed is 65 miles per hour\r
\n" ); document.write( "\n" ); document.write( "(A non algebra method would take the idea that the passenger train travels an extra 125 miles and is 25 miles per hour faster so the journey would take 5 hours. The speeds would therefore be 325/5 = 65 miles per hour and 200/5=40 miles per hour)
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