Legfeljebb tíz percig várok.

Legfeljebb means at most, no more than, or up to in the sense of a maximum limit.

So Legfeljebb tíz percig várok means the speaker is setting a limit: they will wait, but not longer than ten minutes.

A useful contrast:

• legfeljebb = at most
• legalább = at least

In Hungarian, after a number, the noun is normally singular, not plural.

So:

• tíz perc = ten minutes
• két könyv = two books
• három nap = three days

Then any case ending gets added to that singular noun:

• tíz percig
• három napig

This is very different from English, where the noun becomes plural after most numbers.

The suffix -ig often means until, as far as, or with time expressions for ... long / up to ....

Here tíz percig means for ten minutes or up to ten minutes.

So:

• perc = minute
• percig = for a minute / until a minute point is reached, depending on context

In this sentence, -ig helps express the duration limit of the waiting.

Yes, that is also possible in Hungarian.

Both tíz percig várok and tíz percet várok can express I wait for ten minutes. But there is a slight difference in feel:

• tíz percig várok sounds very natural when you are talking about a time limit or duration up to a point
• tíz percet várok is also correct, but with legfeljebb many speakers may find -ig especially natural because it emphasizes the upper limit

So the sentence you were given is a very natural way to say I’ll wait at most ten minutes.

Várok is the first person singular indefinite form of vár (to wait).

Hungarian has two main conjugation types:

• indefinite
• definite

You use the definite conjugation when there is a definite direct object.

Here, there is no definite direct object. The sentence is just about the action of waiting and its duration, so the correct form is:

• várok = I wait / I am waiting / I’ll wait

By contrast:

• Várom a buszt. = I am waiting for the bus.

There, a buszt is a definite object, so várom is used.

Hungarian usually leaves out the subject pronoun when it is clear from the verb ending.

So:

• várok already means I wait / I am waiting / I’ll wait

You can add én for emphasis:

• Én legfeljebb tíz percig várok.

That would sound more like:

• I’ll wait at most ten minutes
  with extra emphasis on I.

Hungarian often uses the present tense to talk about the future when the context makes the future meaning clear.

So várok literally looks like I wait / I am waiting, but in context it can naturally mean:

• I’ll wait

In this sentence, the idea of a planned limit makes the future meaning very easy to understand:

• Legfeljebb tíz percig várok. = I’ll wait at most ten minutes.

This is very common in Hungarian.

Hungarian word order is flexible, and moving parts of the sentence changes emphasis.

In Legfeljebb tíz percig várok, the phrase legfeljebb tíz percig is placed before the verb to highlight the limit:

• at most ten minutes is the important information

You could also say:

• Várok legfeljebb tíz percig.

That is possible, but the original sentence feels more focused on the maximum time.

So the word order helps show what the speaker wants to emphasize.

It has a broader meaning. Legfeljebb is not limited to numbers. It generally expresses a maximum or upper limit.

Examples:

• Legfeljebb holnapra kész lesz. = It will be ready by tomorrow at the latest.
• Legfeljebb segítek egy kicsit. = At most, I’ll help a little.

But with numbers and time expressions, it very often translates neatly as at most.

A rough pronunciation guide:

• Legfeljebb ≈ leg-fel-yebb
• tíz ≈ teez
• percig ≈ per-tsig
• várok ≈ vaa-rok

A few helpful notes:

• í and á are long vowels
• c in Hungarian is pronounced like ts
• stress is always on the first syllable of each word

So the sentence is stressed like this:

• LEGfeljebb TÍZ percig VÁrok