Solving Equations: Word Problems - Examples & Practice

Two trains, $A$ and $B$, are $170$ miles apart. At time $t=0$, the two trains start heading towards each other, with train $A$ going $47$ miles per hour and train $B$ going $38$ miles per hour.

At the same time, an unusually fast hummingbird starts moving at $75$ miles per hour from train $A$ towards train $B$. Once it reaches train $B$, it will instantly turn around and move back towards train $A$, then turn around once it reaches $A$, etc; all the while still moving at $75$ miles per hour until the trains pass each other.