Your experience in learning the violin can only show that there is something wrong with the teacher you are looking for. After all, the ultimate goal of teachers is to teach students well, and no matter how good their skills are, they will not have a direct impact on students. Teachers need to know many methods, teach students in accordance with their aptitude, master students' psychology, and praise and criticize them appropriately. Your teacher only knows the violin. Strictly speaking, he can't be called a teacher. Find a good teacher in the future, otherwise all instrumental music will not suit you.
Guzheng is generally about 80- 150 per class, and the Conservatory of Music has hundreds of teachers.
You'd better find an experienced teacher a few years after graduation. I wish the tuition could be around 100.
Each class is usually 1 hour, and sometimes there are 40 minutes. Forty minutes is enough for a good teacher, and generally one hour is better. At least once a week, otherwise you will forget a lot of things in two months and remember them wrong once. If you want, you can play some small tunes in three months, but you'd better listen to the teacher 1 and lay a good foundation.