Такая доброта помогает людям быстрее доверять друг другу.

Because такая has to agree with доброта.

• доброта is feminine
• singular
• nominative case

So the matching form of такой is такая.

A quick comparison:

• такой человек = such a person / that kind of person
• такая доброта = such kindness
• такое отношение = such an attitude

Russian adjectives and adjective-like words change form to match the noun they describe.

Here такая means something like such or this kind of.

So такая доброта is not just kindness in a general dictionary sense. It points to a particular kind or degree of kindness that has already been mentioned or is clear from context.

Depending on context, it can feel like:

• such kindness
• this kind of kindness
• kindness like this

So такая adds emphasis and makes the phrase more specific.

Because the verb помогать normally takes the dative.

Russian asks, in effect, helps to whom?
Answer: людям = to people

So:

• помогать людям = to help people
• помогать другу = to help a friend
• помогать детям = to help children

This is a very important pattern to remember:

• помогать + dative

That is why it is людям, not люди or людей.

Because Russian often uses this pattern:

• помогать кому-то + infinitive

It means to help someone do something.

So here:

• помогает людям доверять = helps people trust

Other examples:

• Это помогает мне работать. = This helps me work.
• Музыка помогает детям учиться. = Music helps children study.

Russian does not need a separate word like English to before the second verb in this structure. The infinitive alone is enough.

Because доверять is the normal verb meaning to trust someone.

This is an important distinction:

• доверять кому-то = to trust someone
• доверить что-то кому-то = to entrust something to someone

So:

• Я доверяю ему. = I trust him.
• Я доверил ему секрет. = I entrusted him with a secret.

In your sentence, the idea is about people developing trust in each other, so доверять is the correct verb.

Also, доверять is imperfective, which fits a general process or ongoing ability rather than a single completed act.

Because друг другу changes case depending on the verb, and доверять requires the dative.

This expression means each other / one another, but it is not fixed in only one form. It declines.

Compare:

• любить друг друга = to love each other
  Here любить takes the accusative, so you get друг друга.

• доверять друг другу = to trust each other
  Here доверять takes the dative, so you get друг другу.

So the form of друг друг- depends on what case the verb needs.

Быстрее is the comparative form of быстро.

• быстро = quickly
• быстрее = more quickly / faster / sooner

In this sentence it modifies доверять, so the idea is that this kindness helps people trust each other more quickly.

A useful thing to know: in Russian, the comparative is often used even when English might simply say sooner or more easily, without making an explicit comparison.

So быстрее here does not necessarily mean a very strict comparison like faster than X. It can simply mean that trust develops sooner.

No, Russian word order is fairly flexible, although some orders sound more neutral than others.

Your sentence has a very natural, neutral order:

• Такая доброта помогает людям быстрее доверять друг другу.

But Russian could rearrange parts for emphasis, for example:

• Людям такая доброта помогает быстрее доверять друг другу.
• Такая доброта помогает быстрее доверять друг другу.
• Друг другу люди начинают доверять быстрее благодаря такой доброте.
  (This is a more reworked version, but still natural.)

The original order is good because it presents the sentence smoothly:

1. topic: такая доброта
2. main action: помогает
3. affected people: людям
4. result: быстрее доверять друг другу

Because the sentence is talking about kindness itself as a quality, not describing a person or thing as kind.

Compare:

• добрый человек = a kind person
  Here добрый is an adjective describing человек.

• доброта помогает... = kindness helps...
  Here доброта is a noun meaning the quality kindness.

So такая доброта means such kindness, not such kind.

This is very common in Russian: abstract qualities are often expressed with nouns like:

• доброта = kindness
• честность = honesty
• смелость = courage

Yes, grammatically you could say быстро доверять, but it means something slightly different.

• быстро доверять = to trust quickly
• быстрее доверять = to trust more quickly / faster / sooner

In your sentence, быстрее suggests that this kindness speeds up the development of trust. It highlights improvement.

So:

• Такая доброта помогает людям быстро доверять друг другу.
  = Such kindness helps people trust each other quickly.

• Такая доброта помогает людям быстрее доверять друг другу.
  = Such kindness helps people trust each other more quickly / sooner.

The version with быстрее often sounds a little more natural in this kind of statement about cause and effect.