SOLUTION: The speed of a freight train is 23 mph slower than that of a passenger train. The freight train travels 250 mi in the same time it takes the passenger train to travel 450 mi. Find

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Question 351302: The speed of a freight train is 23 mph slower than that of a passenger train. The freight train travels 250 mi in the same time it takes the passenger train to travel 450 mi. Find the speed of the passenger train.
Please Help! I have tried a lot of different things but cant get to one of the multiple choice answers. Please Help! Thank you!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
f = p - 23

t = d / r ___ the time is the same for both trains

250 / (p - 23) = 450 / p

multiplying by p(p-23) ___ 250p = 450p - (23 * 450)

23 * 450 = 200p