Mire hazaérek, a törölköző már száraz lesz.

In this sentence, mire means by the time.

So Mire hazaérek means By the time I get home.

This is a very common Hungarian pattern:

• Mire odaérünk, elkezdődik a film. = By the time we get there, the movie will start / will have started.
• Mire felhívsz, már úton leszek. = By the time you call me, I’ll already be on the way.

Be careful: mire can also mean what for? in other contexts, so its meaning depends on the sentence.

Hungarian very often uses the present tense to talk about the future, especially in time clauses like this one.

So:

• Mire hazaérek literally looks like By the time I get home
• but the time reference is clearly future from context

This is normal Hungarian usage. English often does something similar in time clauses:

• By the time I get home... not usually
• By the time I will get home...

So the Hungarian present tense here does not mean present time; it means a future event understood from the situation.

hazaérek can be broken down like this:

• haza = home, more exactly to home / homewards
• érek = I arrive / I reach

Together, hazaérek means I get home or I arrive home.

The verb is from hazaér, which is a very common verb meaning to get home.

Examples:

• Mikor érsz haza? = When are you getting home?
• Későn érek haza. = I get home late.

Hungarian usually does not need subject pronouns when the verb ending already shows the subject.

In hazaérek, the ending -ek tells you the subject is I.

So:

• hazaérek = I get home
• én hazaérek = I get home, but with extra emphasis on I

You would use én only if you want contrast or emphasis, for example:

• Ő korán ér haza, de én későn. = He gets home early, but I get home late.

a törölköző means the towel, so it refers to a specific towel, one that is known from the context.

Hungarian uses:

• a / az = the
• egy = a / an

So:

• a törölköző = the towel
• egy törölköző = a towel

In this sentence, the speaker probably has a particular towel in mind, so the definite article is natural.

Because the sentence talks about a future state.

In Hungarian, when an adjective works as the predicate:

• in the present tense, van is usually omitted
• but in the past and future, you use the forms of van

So:

• A törölköző száraz. = The towel is dry.
• A törölköző száraz volt. = The towel was dry.
• A törölköző száraz lesz. = The towel will be dry.

That is why lesz is necessary here.

már means already.

Here it gives the sense that by the time the speaker gets home, the towel will already be in a dry state.

So már emphasizes that the drying will have been completed before or by that point.

Compare:

• Mire hazaérek, a törölköző száraz lesz. = neutral: By the time I get home, the towel will be dry.
• Mire hazaérek, a törölköző már száraz lesz. = emphasizes already dry by then

It is not absolutely required, but it sounds very natural in this context.

Not with exactly the same meaning.

• Amikor hazaérek means when I get home
• Mire hazaérek means by the time I get home

That difference matters.

Amikor focuses on the time point when something happens. Mire focuses on a result that will be true by that time.

So:

• Amikor hazaérek, a törölköző száraz lesz. is understandable, but it is less precise for this idea.
• Mire hazaérek, a törölköző már száraz lesz. is the more natural choice if you mean the towel will already be dry by then.

Yes, that is possible, but it shifts the focus a little.

• A törölköző már száraz lesz. focuses on the state: the towel will be dry
• A törölköző megszárad. focuses on the change/process: the towel dries / will dry

So:

• Mire hazaérek, a törölköző már száraz lesz. = by then, its condition is dry
• Mire hazaérek, a törölköző megszárad. = by then, it will dry / finish drying

Both can work, but the original sentence highlights the resulting state rather than the event of drying.

Hungarian word order is flexible, but it is not random. It often reflects topic, focus, and what the speaker wants to emphasize.

In: Mire hazaérek, a törölköző már száraz lesz.

the first clause sets the time frame:

• By the time I get home...

Then the main clause gives the important information:

• the towel will already be dry

This is very natural.

You could also say: A törölköző már száraz lesz, mire hazaérek.

That is also correct. It just puts the main statement first and the time clause after it. English does the same kind of thing:

• By the time I get home, the towel will already be dry.
• The towel will already be dry by the time I get home.

It is simply an adjective meaning dry.

In this sentence, it is used as a predicate adjective, describing what the towel’s state will be.

So the structure is:

• a törölköző = the subject
• száraz = the adjective
• lesz = the future form of to be

This is a very common Hungarian pattern:

• A leves meleg lesz. = The soup will be hot.
• A szoba sötét lesz. = The room will be dark.
• A ruha tiszta lesz. = The clothes will be clean.

Yes, it sounds natural.

It is a normal way to say that by the time the speaker gets home, the towel will have dried.

The sentence is clear, idiomatic, and grammatically standard:

• Mire hazaérek = natural time clause
• már = natural emphasis
• száraz lesz = natural way to describe the future state

A native speaker would understand it immediately.