The rest of the company should catch up before that happened.

After the rest of the world caught up, we started on our rounds.

He was tall, but the rest of him hadn't caught up.

By now the rest of the squad had caught up.

Finally, the rest of the world has caught up with her.

By then the rest of the unit had caught up.

"We can't accept the fact the rest of the world has caught up in so many areas," he said.

No food and little rest would eventually catch up to him.

Then the rest of us could catch up to him.

But, over time, the rest of the world caught up.