Questions & Answers about Они будут продолжать работать.
Why do we use будут here instead of будет?
Будут is the "they" form of the verb быть (to be) in the future tense. Because the subject is Они (they), we have to conjugate the helper verb to match it, giving us the meaning "they will".
Why are both продолжать and работать in their infinitive (dictionary) form?
In the compound future tense, only the helper verb (быть) gets conjugated. The main verb that follows it stays in the infinitive. Here we actually have a chain of two actions: "continue" and "to work". Just like in English, you string them together, so both keep their -ть ending!
Could I use perfective verbs with будут to make the future tense?
No, and this is a very important rule! The helper verb быть is only ever used with imperfective verbs (verbs that describe an ongoing process or repeated action). Perfective verbs (actions with a clear completion or result) form the future tense all by themselves, without ever using forms of быть.
Is the word order always the same as English for this type of sentence?
In this specific sentence, it matches English perfectly: subject (Они) + will (будут) + continue (продолжать) + to work (работать). While Russian word order is flexible and you can move words around to change emphasis, this straightforward Subject-Verb-Infinitive order is the standard, most natural way to say this.