Traffic jJams

In an average city most of the times a traffic jam is, traffic jams are usually formed because of the constructions or the accidents.

We don'tNo one likes sitting in a car for hours, and because of that we sometimes get angry because we'll be late for something.

For this problem the solution is simple,There is a simple solution for this problem: we can use bicycles for the short journeycommutes but it's not as fast as thea car.

OrIn addition, we can use trains for long journeys andso we don't have to sit in a traffic jam for hours becaus, since the trains are moving on the railways.

Traffic jJams

In an average city most of the times a, traffic jam iss usually formed because of theaccidents or constructions or the accidents.¶
OR¶
In an average city, the reason for a traffic jam is usually either an accident or construction work.

We don'tNobody likes sitting in a car for hours, and because of that we sometimes get angry, especially if we are going to be late for something. ¶
OR¶
Nobody likes sitting in a car for hours, and because of that we sometimes get angry because we'll be late or something., especially if we have somewhere to be. ¶
OR¶
Nobody likes sitting in a car for hours, and because of that we sometimes get angry, especially if we are running late.

What you wrote is fine, these just sound more natural to me.
A note: "late or something" means late or something else, "late for something" is only talking about being late. I am not sure if you meant "late or something", but I changed it to be more specific.

For this problem, the solution is simple,re are simple solutions: we canould use a bicycle for the short trips (OR journeys) but it's not (OR it isn't) as fast as thea car.

OrAlternatively, we can use trains for long journeys, and we dothen we wouldn't have to sit in a traffic jam for hours because thrains run on the railways.¶
OR¶
For long journeys, we could use trains, are moving on the railways.nd then we wouldn't have to sit in traffic jams for hours since trains run on the railways. ¶
OR¶
For long journeys, we could use trains, and then we wouldn't have to sit in a traffic jam for hours since trains don't use the roads.

What you wrote was fine, these just feel more natural to me.