#### Answer

It will take 2.5 hours for both trains to meet.

#### Work Step by Step

Since both trains leave at the same time, they will have traveled the same amount of time when they meet. Let t represent the time they travel until they meet.
The freight train travels at 40 miles per hour, for a time of t, meaning that it travels for a distance which is equal to 40 $\times$ t = 40t.
The passenger train travels at 90 miles per hour, for a time of t, which means that it travels for a distance which equals to 90 $\times$ t = 90t.
Since they both travel for a distance of 325, we can set up the following equation:
40t + 90t = 325
130t = 325
t = 2.5
It will take 2.5 hours for both trains to meet.