the speed of a passenger train is 10 mph faster than the speed of a freight train. the passenger train travels 250 miles in the same time it takes the freight train to travel 200 miles. find the speed of each train

Question

anonymous · Answer

If the sped of the freight train is F, then the speed of the passenger train is F+10. The time for each is the same.  Using R*T=D, we can find the time for each train and equate them, eg, $$250/(F+10)=200/F$$You can solve by "cross-multiplying."  Do you know how to proceed from here?

anonymous · Answer

Solving you get$$250F=200F+2000$$$$50F=2000$$$$F=40$$Which is the rate for the freight train.
The passenger train's rate is 40+10 or 50 mph.