Például távmunkát is kérhet.

Because távmunkát is the direct object of the verb kérhet.

Hungarian usually marks a direct object with the suffix -t.
So:

• távmunka = remote work / telework
• távmunkát = remote work, as the thing being requested

Also notice this pattern:

• if a noun ends in -a or -e, that vowel often lengthens before certain endings
• munka → munkát
• so távmunka → távmunkát

This is a very common Hungarian spelling and grammar pattern.

Is usually means also, too, or sometimes even, depending on context.

In this sentence, távmunkát is means something like remote work as well or also remote work.

A very important rule is that is normally comes right after the word it modifies. So here it attaches to távmunkát, meaning that remote work is one of several possible things the person may request.

Compare:

• távmunkát is kérhet = they can request remote work too
• if is followed some other word, the emphasis would change

Kérhet comes from the verb kér, which means to ask for, to request, or sometimes just to ask.

The ending -het / -hat often expresses possibility or permission, so kérhet can mean:

• can request
• may request
• sometimes is allowed to request

So kérhet is not simply asks. It has the sense of being able or allowed to ask for something.

Hungarian often leaves out subject pronouns when they are understood from the verb form. This is very normal.

Kérhet is a third-person singular form, so depending on context it can mean:

• he can request
• she can request
• it can request
• or sometimes you can request in formal address

Hungarian does not need to say ő unless there is special emphasis or contrast.

Because the sentence is talking about remote work in a general sense, not a specific, already identified instance of it.

Hungarian often omits the article when the object is indefinite or generic. So:

• távmunkát kérhet = may request remote work
• a távmunkát kérheti would suggest the remote work, something specific

This difference also affects the verb form, because Hungarian verbs change depending on whether the object is definite or indefinite.

This is because Hungarian has two main conjugation patterns:

• indefinite conjugation
• definite conjugation

Here the object is távmunkát without an article, so it is indefinite/general, and the verb uses the indefinite form:

• kérhet

If the object were definite, for example a távmunkát, then Hungarian would normally use the definite verb form:

• A távmunkát kérheti. = He/she may request the remote work.

So the choice between kérhet and kérheti is not random; it depends on the object.

Például means for example.

It introduces this sentence as an example of a larger point. In English, we might say:

• For example, ...
• For instance, ...

Hungarian often places Például near the beginning of the sentence, just as English often does with for example.

Hungarian word order is more flexible than English word order, and it often reflects focus and emphasis rather than fixed grammatical roles.

This sentence has a natural, neutral flow:

• Például sets up the example
• távmunkát is presents what can also be requested
• kérhet finishes with the verb

Also, is must follow the word it belongs to, so távmunkát is stays together.

English learners often expect a stricter order, but in Hungarian the position of elements can shift for emphasis. Even so, this version sounds normal and straightforward.

Here it is closer to request or ask for than to plain ask.

Hungarian kér is broad and can cover several English ideas:

• ask
• ask for
• request

When the verb has an object like távmunkát, it usually means ask for/request remote work, not simply ask a question.

So in this sentence, request is usually the best natural English choice.

Yes. Távmunka is a standard Hungarian word meaning telework or remote work.

It is especially common in more formal, administrative, or workplace-related contexts. In everyday speech, Hungarians may also use expressions influenced by English, such as home office, but távmunka is a fully normal Hungarian word and often sounds more official or general.

So for learners, távmunka is definitely a useful word to know.