Acar's speed is 60 km/h. by how much would it have to increase its speed to be able to cover each kilometer of the road by half a minute faster?

There are 60 minutes in 1 hour, therefore, if the car has a speed of 60 kilometers per hour, that simply means, 60 kilometers per 60 minutes.

now, if the car covers 60 kilometers in 60 minutes, that means in 1 minute, it covers 1 kilometer.

now, if we want to cover every kilometer, not in 1 minute, but half-minute faster than that, that means 1 - 1/2, or 1/2 minute, so, what speed is needed to cover 1 kilometer in just half-minute then?

well, you just need to increase your kilometer per minute from 1 minute, to 1/2, that is , 1 kilometer per 0.5 minutes.

if you can cover 1 kilometer in 0.5 minutes, how many can you cover in 60 minutes or 1 hour?  in 1 minute you can cover  2 kilometers at that speed, in 60 minutes then, you can cover 120 kilometers, twice as many.

120 km/h.

Ireally don’t understand your problem do you have a better picture of it