Hey Aspirant!

Both of these courses are undergraduate level and hence the duration is same.
The difference between BA in psychology honours and BA in Applied psychology is that in Psychology honours you'll learn about the basics of psychology, theories, principles and methods, you'll research, conduct experiments, observational studies and scientific experiments related to mental health. Whereas in BA in applied psychology  you'll use these principles, concepts and theories to help people, manage distress, disorders, illness and maintaining wellness, you'll help others to deal with their everyday life situations.
Both are excellent courses it depends on your interest and which one suits you more.

Hope this helps!