La vivo en la urbo estas rapida.

Because Esperanto uses la for the, and each noun can take its own article.

• la vivo = the life
• la urbo = the city

In English, we also say the life in the city, so Esperanto is doing the same thing here. The two la words belong to two different nouns: vivo and urbo.

In Esperanto, -o marks a noun.

So:

• vivo = life
• urbo = city

This is one of the most basic patterns in Esperanto:

• -o = noun
• -a = adjective
• -e = adverb
• -i = infinitive verb

That means you can often recognize a word’s job in the sentence just from its ending.

Because rapida is an adjective, and here it describes vivo.

• rapida = fast, quick
• rapide = quickly

In the sentence, the meaning is The life in the city is fast, not The life in the city is quickly. After estas, Esperanto usually uses an adjective when describing what something is.

So:

• La vivo estas rapida. = Life is fast.
• La vivo moviĝas rapide. = Life moves quickly.

Because adjectives in Esperanto end in -a.

Here, rapida describes vivo, so it must be an adjective. Esperanto adjectives also agree with the noun they describe in number and case.

Since vivo is:

• singular
• not accusative

the adjective stays in its basic form:

• vivo
• rapida

If the noun were plural, the adjective would also become plural:

• La vivoj estas rapidaj. = The lives are fast.

It means in the city.

• en = in
• la urbo = the city

So en la urbo is a prepositional phrase telling you where this kind of life is being discussed. It modifies vivo here: the life in the city.

Estas is the present-tense form of esti, which means to be.

Esperanto verbs are very regular:

• esti = to be
• estas = is / are / am
• estis = was / were
• estos = will be

So:

• La vivo ... estas rapida = The life ... is fast

Notice that Esperanto does not change the verb depending on the subject:

• mi estas
• vi estas
• li estas
• ili estas

Always estas in the present tense.

Because there is no direct object here.

The -n ending is usually used for the accusative, which often marks the direct object.

In this sentence:

• La vivo is the subject
• estas is the verb
• rapida is a predicate adjective
• en la urbo is a prepositional phrase

None of those need -n here.

Also, after a preposition like en, you normally do not add -n unless you are showing direction in certain contexts.

So:

• en la urbo = in the city
• en la urbon can mean into the city in a directional sense

But that is not what this sentence means.

Yes, Esperanto word order is fairly flexible, though some versions sound more neutral than others.

The most natural order here is:

• La vivo en la urbo estas rapida.

But you could also say:

• En la urbo la vivo estas rapida.

That gives a bit more emphasis to in the city.

Because Esperanto marks grammar clearly with endings and prepositions, word order can move around more freely than in English. Still, learners should usually start with the most straightforward order.

They are very close, but not exactly identical in feel.

• La vivo en la urbo = the life in the city
• urba vivo = city life / urban life

Urba vivo is more compact and sounds a bit more like a general category or concept.
La vivo en la urbo feels more literally descriptive: life that exists in the city.

Both are good Esperanto, but the sentence you were given uses the more transparent structure for beginners.

In normal Esperanto, la is often used when talking about something specific or a general idea understood in context.

• La vivo en la urbo estas rapida. = Life in the city is fast / The life in the city is fast

Leaving out la here would sound less natural in standard Esperanto. Esperanto often uses la in places where English may use no article for a general statement.

So even though English says Life in the city is fast, Esperanto commonly says La vivo en la urbo estas rapida.

Not necessarily. Grammatically, rapida means fast, but in a sentence like this it often refers to the pace of life.

So the idea is usually that city life is:

• busy
• quick-moving
• hurried

rather than physically moving fast in a literal sense. This is similar to English, where life in the city is fast usually means the pace of life is fast.

A rough guide is:

• La = lah
• vivo = VEE-vo
• en = en
• la = lah
• urbo = OOR-bo
• estas = ES-tahs
• rapida = rah-PEE-dah

A few helpful points:

• Esperanto stress is almost always on the second-to-last syllable
• every vowel is pronounced clearly
• letters usually have one consistent sound

So:

• VI-vo
• UR-bo
• ES-tas
• ra-PI-da

No, that would be incorrect in standard Esperanto.

After estas, you normally need:

• a noun, or
• an adjective

Since rapida describes vivo, it must be an adjective.

So:

• correct: La vivo en la urbo estas rapida.
• incorrect: La vivo en la urbo estas rapide.

Use rapide only when you are describing how an action happens:

• La homoj moviĝas rapide en la urbo. = People move quickly in the city.