A rubber-tyred metro is like a subway train that runs on big wheels made of rubber instead of steel. It's like how your toy cars have rubber wheels to help them move smoothly. The rubber wheels on a metro train help it move faster and more quietly than regular subway trains.
The rubber wheels are also helpful for going up and down curved tracks. Think about how your toy car might have trouble turning if its wheels were stuck in one direction. A rubber-tyred metro can curve and turn more easily because its rubber wheels can shift and adjust as needed.
Rubber-tyred metros are especially popular in big cities because they can carry lots of people quickly and efficiently. Because they're quieter than regular subway trains, they're also less annoying to people who live near the train tracks.