Correct Answer - Option 2 :
10h 47m 16s AM
Concept:
There are 24 hours per day, so in one hour the earth rotates 1/24th of the way around 360 degrees divided by 24 gives an angle measure of 15 degrees per hour of time or 4 degree in one minute.
Longitude line measurements start with the north-to-south line that goes through Greenwich which is 0 degree longitude or prime meridian, and measure in positive numbers to 180 degrees eastward and measures from Greenwich in the negative direction to 180 degrees to westward.
Local time = GMT ± Longitude
(Take minus sign if longitude is westward and take positive sign if it is eastward)
Calculation:
Local mean time = 8h 12m 16s
1 minute = 40
Longitude of 38° 45’ W which is equivalent to 38 × 4 + 45× 4/60 = 155 minutes or 2h 35m
As, Local time = GMT ± Longitude
⇒ 8h 12m 16s = GMT - 2 h 35 m 00 s
∴ GMT = 10h 47m 16s AM
