SOLUTION: An express train travels 348 mi in the same amount of time it takes a freight train to travel 210 mi. The rate of the express train is 23 mph faster than that of the freight train.

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Question 1134526: An express train travels 348 mi in the same amount of time it takes a freight train to travel 210 mi. The rate of the express train is 23 mph faster than that of the freight train. Find the rate of the freight train.

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the rate of the freight train, in miles per hour (the value under the problem's question).


Then the time equation is


    348%2F%28x%2B23%29 = 210%2Fx.


Solve it for x. Start cross-multiplying


    348x = 210*(x+23),

    348x = 210*x + 210*23

    x = %28210%2A23%29%2F%28348-210%29 = 35.


Answer.  The freight train rate is 35 miles per hour.

Solved.

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