I've been calling him an awful lot this past week, but he hasn't got back to me at all. How much further/longer is it (by car) from here to the hospital?

I've called him so many times this week, but he hasn't replied! (You wrote them first as He and second as She, so you changed from male to female. I left both as male.) How much longer will it be until we reach the hospital? (If you're in a car you don't have to say you're in a car.)

1. I have been calling him so many times in the past week, but he did not reply to me. 2. How much longer is it to the hospital by car from here?

1. i have been calling him so many times for the last week but she did not reply me back. In this sentence you started by saying that you have tried to call "him" (a masculine subject) for many time but without getting any answer. the sentence is incorrect for you wrote "she" (female subject) at the end.See suggestion below I have been calling him so many times for the past week but he did not reply me back.