To be able to keep up with someone or something; to follow or understand someone's ideas, pace, or changes.
最近の授業は進度が速くて、ついていけない学生が多い。
The classes have been moving quickly lately, and many students can't keep up.
彼の専門用語が多い話には、ついていける自信がない。
I don't feel confident that I can keep up with his talk full of technical terms.
新しい職場のペースにやっとついていけるようになった。
I've finally become able to keep up with the pace at the new workplace.
会話が早すぎて、ついていけなかった。
The conversation was too fast; I couldn't keep up.