Fetching details from the dictionary...

to catch up (with); to draw level; to pull even; to reach
to be compensated; to make up for one's losses
走って前の人になんとか追い付いた。
I ran and caught up with the person ahead.
必死に走ってバスに追い付くことができた。
I ran desperately and managed to catch up with the bus.
彼の実力にはまだ追い付けない。
I still can't catch up to his ability.