Question

the local time is decided at noon time​

Answer 1

Noon (or midday) is 12 o'clock in the daytime. It is written as 12 noon, 12 p.m., 12 pm, or 12:00

Solar noon is the time when the Sun appears to contact the local celestial meridian. This is when the Sun reaches its apparent highest point in the sky, at 12 noon apparent solar time and can be observed using a sundial. The local or clock time of solar noon depends on the longitude and date.[1