На кухні з крана тече вода, і підлога вже мокра.

Both can mean in the kitchen, but на кухні is very common and idiomatic in Ukrainian.

A useful way to think about it:

• в/у often means physically inside something
• на is also used with some locations by convention, even when English uses in

So на кухні is just the normal Ukrainian way to say in the kitchen in many contexts.

Also, кухні is in the locative case, because it follows a preposition of location.

Кухні is the locative singular of кухня.

Base form:

• кухня = kitchen

After на when it means location, Ukrainian uses the locative:

• на кухні = in the kitchen

So this is a standard preposition + locative pattern.

After з meaning from/out of, Ukrainian uses the genitive case.

Base form:

• кран = tap, faucet

Genitive singular:

• крана

So:

• з крана = from the tap/faucet

This is a very common pattern:

• з дому = from the house
• з міста = from the city
• з крана = from the tap

Here кран means a tap or faucet.

So з крана тече вода is the natural way to say:

• water is running from the tap
• water is coming out of the faucet

Depending on the variety of English, you might translate кран as:

• tap (more common in British English)
• faucet (more common in American English)

Тече comes from текти, which means to flow / to run for liquids.

That makes it the natural verb for water:

• тече вода = water is flowing / running

English often says the water is running, and Ukrainian uses текти for that idea.

This verb is especially common for:

• water
• rivers
• blood
• anything liquid that flows

Yes, but the meaning shifts a little.

• тече вода = the water is flowing/running
• ллється вода = the water is pouring/spilling out

Тече sounds more neutral and is very natural for water coming from a tap.
Ллється can sound stronger, as if the water is really pouring out or spilling.

So in this sentence, тече вода is the most straightforward choice.

Both are possible. Ukrainian word order is more flexible than English.

• Вода тече = neutral, straightforward
• Тече вода = often puts a little more focus on the action or creates a more natural flow in the sentence

In this sentence:

• На кухні з крана тече вода...

the speaker first sets the scene (in the kitchen, from the tap) and then gives the new information (water is flowing).

So the word order is natural and stylistic, not a different grammar rule.

In the present tense, Ukrainian usually omits the verb to be.

So:

• підлога мокра literally looks like floor wet
• but it means the floor is wet

This is completely normal in Ukrainian.

Compare:

• Я студент. = I am a student.
• Вона щаслива. = She is happy.
• Підлога вже мокра. = The floor is already wet.

Мокра agrees with підлога, which is a feminine singular noun.

Base adjective:

• мокрий = wet

Feminine singular form:

• мокра

So:

• підлога = floor (feminine)
• підлога мокра = the floor is wet

This is adjective agreement:

• masculine: мокрий
• feminine: мокра
• neuter: мокре
• plural: мокрі

Because here the adjective is part of a present-tense predicate with an omitted is, and Ukrainian normally uses the nominative form.

So:

• підлога мокра = the floor is wet

Not:

• підлога мокрою

The form мокрою is instrumental feminine, and it appears in other structures, but not in this simple present-tense sentence.

Вже means already.

So:

• підлога вже мокра = the floor is already wet

It shows that the situation has progressed: the water has been running long enough that now the floor is wet.

Yes. І means and.

Here it joins two clauses:

• На кухні з крана тече вода
• підлога вже мокра

So the whole sentence links two related facts:

1. water is running from the tap
2. the floor is already wet

Because і is joining two separate clauses, each with its own grammatical center.

Clause 1:

• тече вода = water is flowing

Clause 2:

• підлога мокра = the floor is wet

When Ukrainian joins full clauses like this, a comma is normally used before і.

Ukrainian has no articles, so there is no separate word for a/an/the.

That means:

• кран can mean a tap or the tap
• підлога can mean a floor or the floor
• вода can mean water or the water, depending on context

The context tells you what sounds natural in English.

In this sentence, English naturally uses:

• the tap / the faucet
• the floor

Yes. Ukrainian allows several natural word orders, for example:

• На кухні з крана тече вода, і підлога вже мокра.
• Вода тече з крана на кухні, і підлога вже мокра.
• З крана на кухні тече вода, і підлога вже мокра.

The basic meaning stays the same, but the emphasis changes slightly.

The original version sounds very natural because it starts with the location:

• На кухні = in the kitchen

Then it introduces what is happening there.

Yes. з, із, and зі are euphonic variants of the same preposition in many contexts.

They all can mean from or with, depending on context. The choice often depends on pronunciation and what sounds smoother.

For example:

• з крана sounds fine
• in other contexts Ukrainian may prefer із or зі

So here з крана is simply the natural-sounding form.