In brief
The belt connects the movement of the shafts in an exact relation. Its term of service is not determined only by appearance.
Useful to know
The timing belt provides synchronous transmission of movement in the engine through its teeth. Continental explains the connection to the camshaft that controls the valves and the need for it to work in concert with the crankshaft. [1]
It's a different task than the common "sleeve spins something". The exact time of events in the engine is essential. In certain constructions, loss of synchrony can lead to a meeting of valves and pistons. [1]
Practically in service check the exact engine and prescribed interval. Continental points to aging and wear, and points to the vehicle manufacturer's intervals. [1] One picture of the visible surface does not establish the whole story and the remaining resource.
We don't give a universal mileage for all cars and we don't assume that every engine uses a belt. Accurate identification and documentation are required before talking about a specific operation.
Sources
For further detail and to check the information: