SOLUTION: A train can travel 280 miles in the same time that it takes a car to travel 140 miles. If the train is 40 miles per hour faster than the cars, find the average rate for each.

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Question 429220: A train can travel 280 miles in the same time that it takes a car to travel 140 miles. If the train is 40 miles per hour faster than the cars, find the average rate for each.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

train is 40 miles per hour faster than the cars

Let x and (x+40mph)represent the speed of the car and train respectively

Question states*** Time is the same.  t = D/r

 140%2Fx+=+280%2F%28x%2B40%29    | Cross Multiplying 

  280x = 140(x+40)

  140x = 5600

     x = 40mph, the average speed of the car's.  train's average speed is 80mph



CHECKING our Answer*** 

 140mi/40mph = 280mi/80mph = 3.5 hr