When places are located on the same meridian, they have the same longitude, which means they experience the same local time. In this scenario, there are four places that are 500 km apart and are on the same meridian. It is mentioned that the local time at one of these places is 12.00 noon.

Option 1: 12.00 noon

Since all the places are on the same meridian, they will have the same time. Therefore, the time at the three other places will also be 12.00 noon.

Option 2: 1.00 pm

This option is incorrect because it assumes that there is a time difference between the places. However, since they are on the same meridian, the time will be the same.

Option 3: 2.00 pm

This option is incorrect for the same reason as option 2. There won`t be a time difference between the places on the same meridian.

Option 4: Different time at different places

This option is incorrect. As mentioned earlier, since the places are on the same meridian, they will have the same local time.

In conclusion, the correct answer is option 1: 12.00 noon. All four places will have