I don't know about that. I currently need an MRI and the earliest appointment I could get was 4 weeks out, and that's not at the closest facility (they are nearly two months out). Maybe CT scans are faster.
Depending on the protocol, CT scans usually take anywhere from 5 seconds to 10 minutes (in the longer scans most of that is waiting after contrast injection).
MRI studies take a long time to acquire data, usually at least 20 minutes for very short/limited studies. More involved protocols can take hours. Patient throughput is slower.