Question 1039533
A passenger train can travel 245 miles in the same amount of time that it takes a freight train to travel 200 miles. If the rate of the passenger train is 15 MPH faster than the rate of the freight train.
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r*t = 200
(r+15)*t = 245
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r*t = 200 --> t = 200/r
Sub for t
(r+15)*(200/r) = 245
(r+15)*200 = 245r
245r = 200r + 3000
45r = 3000
r = 66.67
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Looks right.

I have Let r=rate of the freight train
r+15 rate of the passenger train.
t= time
d=rt
Passenger train 
245=r+15(t)
245=rt+15t

Freight Train:
200=rt



245=200+15t= 45=15t  = 3
200=r(3)= 66.7  

66.7  freight train
81.7  passenger train.