Discussion Forum—A Way with Words, a fun radio show and podcast about language

I was recently riding a train, and a recorded announcement struck me as odd. The announcer said something like this:

We remind all passengers to take your belongings and your trash with you as you exit the train.

I would probably suggest something like this:

We remind all passengers to take their belongings and their trash with them as they exit the train.

In a different context I might say:

I remind all you students to take your textbooks with you when you leave for the day.

But the train's announcement sounds jumbled to me. Is this regional?