What time and where on earth is the latest solar noon? For context: I am visiting Portugal from Australia and after observing that people tend to start their days later, I realised that solar noon also seems to occur at a later time - about 1.20pm at the moment. I don't recall solar noon every occurring at such a late time in Australia. When and where is the latest solar noon on earth?
That should be in western China, since all of China uses Beijing's time zone.

Reference: https://en.wikipedia.org/wiki/Time_in_China

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In response to the comment by @adrianmcmenamin: I'll leave this as guesswork since I simply don't know the peculiarities of every timezone there is. Here's a back-of-the-envelope calculation for local noon in western China.

The Sun covers 15 degrees in a period of 1 hour. All of China is on Beijing time (UTC + 8 hours). With the above, it's centred on $15 \cdot 8 = 120^{\circ}$ east. As a consistency check, Beijing is at $116^{\circ}$ east. The westernmost part of China is at about $73^\circ$ east (See here). Local noon there is delayed by $(120^\circ - 73^\circ)/(15^\circ/h) \simeq 3h$.

So, local noon is a little later than 3pm. This is discounting daylight savings time, which is not currently observed in China.