After Aadhar enrollment, it takes hardly 3–4 days to generate e-aadhaar(unless if the status is under manual checking). Sometimes we may get it in a single day also.
If the status is under manual checking, you need to wait for a month or more or less for your e-aadhaar to be generated.
And the original copy of the Aadhaar will be delivered to you once the e-aadhaar was generated. It purely depends on the printing and postal speeds. Mostly it consumes months