YOU SAID:

I was waiting for the car to get to the airport so I could go home

INTO JAPANESE

家に帰れるように車が空港に着くのを待っていた

BACK INTO ENGLISH

I was waiting for the car to get to the airport so I could get home.

INTO JAPANESE

私は家に帰れるように車が空港に着くのを待っていた。

BACK INTO ENGLISH

I waited for the car to arrive at the airport so that I could go home.

INTO JAPANESE

私は家に帰れるように車が空港に着くのを待った。

BACK INTO ENGLISH

I waited for the car to arrive at the airport so that I could go home.