We took a car and less than five minutes later we overtook Koichi who had departed for Seattle on foot on the previous day.
If you can catch up with Kristen in the hundred meter dash, you can compete in the Olympics.
Tofugu’s coloring book was so popular that production couldn’t keep up with demand.
To follow then attach yourself to the whoever you're following is to catch up with someone.
The readings are the ones you learned with the kanji, but you can also just notice that this word includes 追う and 付く combined.