The correct answer is option 2, which is 12 hours and 26 minutes.

A high tide is the highest point of the tide cycle, while a neap tide is a period of moderate tide range occurring twice a month, during the first and third quarter phases of the moon. The interval between a high tide and a neap tide at a given place is approximately 12 hours and 26 minutes.

Option 1, which is 12 hours, is not correct because it does not take into account the additional 26 minutes.

Option 3, which is 15 hours and 30 minutes, is not correct because it is too long for the interval between a high tide and a neap tide.

Option 4, which is 24 hours, is not correct because it represents a full day, which is much longer than the interval between a high tide and a neap tide.

Therefore, option 2 is the correct answer.