a moment’s / a moment of hesitation

[Mnemon]

Hello.

a. When our teacher asks the class a difficult question, he usually answers without a moment’s hesitation.

b. When our teacher asks the class a difficult question, he usually answers without a moment of hesitation.

Do they both work for you? Any difference.

 

[tedmc]

Yes, they both work, but I would omit "a moment of".

 

[emsr2d2]

[STRIKE]Hello.[/STRIKE] Unnecessary. Just ask your question.

a. When our teacher asks the class a difficult question, he usually answers without a moment’s hesitation.
b. When our teacher asks the class a difficult question, he usually answers without a moment of hesitation.

Do they both work for you? Is there any difference between them?

Please note my corrections above. There's no need for a greeting. Remember to write full sentences.

A is commonly used in BrE. B is grammatically correct but uncommon.

 

[Tarheel]

a. When our teacher asks the class a difficult question, he usually answers without a moment’s hesitation.

b. When our teacher asks the class a difficult question, he usually answers without a moment of hesitation.

I am assuming that "he" refers to one of the students and not the teacher. Does the context make that clear?

 

[Mnemon]

I am assuming that "he" refers to one of the students and not the teacher. Does the context make that clear?

Yes, your assumption is correct.
Thanks for chiming in, BTW.

 

[Tarheel]

When I first read that it seemed to be saying that the teacher answered his own question. (Otherwise "he" refers to somebody who is not mentioned.)