"Fortsätter sitt arbete" is more common in written text than "fortsätter med sitt arbete", I checked using the corpora in Korp. I don't know about speech, my impression is probably the opposite from yours. There may be subtle nuances in meaning though.
Just a comment about the English sentence, but "their work" is just as acceptable in English as "its work" when talking about the committee, as the committee is a group of people. Actually, it is probably more common.