SOLUTION: a passanger train and a freight train leave a station at the same time and travel in opposite directions. the passenger train travels 25 mph faster than the freight train. in 3 hou

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Question 1111862: a passanger train and a freight train leave a station at the same time and travel in opposite directions. the passenger train travels 25 mph faster than the freight train. in 3 hours the trains are 315 miles apart. find the average speed of the passenger train and the average speed of the freight train.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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Distance + distance = 315 miles


3*x      + 3*(x+25) = 315  miles    (<<<---=== x is the rate of the slower train)


3x       + 3x + 75  = 315


6x + 75 = 315  ====>  6x = 315 - 75 = 240  ====>  x =  = 40.


Answer.  Freight train rate is 40 mph.   Passenger train rate is  40 + 25 = 65 mph.

Solved.

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