SOLUTION: The speed of a passenger train is 14 mph faster than the speed of a feight train. The passenger train travels 400 mi in the same time that it takes the freight train to travel 330

Question 132806: The speed of a passenger train is 14 mph faster than the speed of a feight train. The passenger train travels 400 mi in the same time that it takes the freight train to travel 330 mi. Find the speed of each train.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Remember that distance equals rate times time, or .

If the rate of the freight train is r, then the rate of the passenger train is r + 14.

We can rewrite as .

For the freight train: , and for the passenger train: . We know that the times are equal because the problem says "same time", so we can say:

To solve a proportion, first cross-multiply:

The speed of the freight train is 66 mph, and the speed of the passenger train is 66 + 14 = 80 mph.

Check:
hours

hours

The times are the same, so the answer checks.

RELATED QUESTIONS
The speed of a passenger train is 16 mph faster than the speed of a freight train. The... (answered by jorel1380)

The Speed of a B&M freight train is 14 mph slower than the speed of an Amtrak passenger... (answered by checkley71)

A passenger train travels 392 mi in the same time that it takes a freight train to... (answered by ankor@dixie-net.com,josmiceli)

The speed of a passenger train is 12 mph faster than the speed of a freight train. The... (answered by josmiceli)

The speed of a passenger train is 20 mph faster than the speed of a freight train the... (answered by josmiceli)

The speed of a passenger train is 18 mph faster than the speed od a freight train. The... (answered by mananth)

A passenger train travels 150 miles in the same time that a frieght train travels 100... (answered by stanbon)

The speed of a passenger train is 12 mph faster than the speed of a freight train. The... (answered by LarsJongste)

The speed of a passenger train is 18 mph faster than the speed of a freight train.The... (answered by checkley77)