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What was the local time in Tokyo situated at 139°45'East Longitude, when the president of India was hosting the India National Flag in the presence of Japanese Prime Minister at 10 a.m in New Delhi? The viewers in Japan were watching a live telecast of the event.
A.6.11 am
B.1.30 am
C.2.49 am
D.1.49 am

Answer
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Hint:In order to determine the location of Latitude and longitude which coordinate system is used. In order to measure time longitude is used. In order to complete 24 hours one circle or 360° of longitude, Earth needs to complete one rotation.

Complete answer:
Rotation of Earth is from east to west on its axis. In order to complete 24 hours by Earth on its axis, it needs to complete one circle which is 360° longitude. From East to west on the surface of the Earth 180° longitude falls from both sides of Prime Meridian. The total time taken to traverse the eastern and western hemisphere is 12 hours. In order to complete one hour
In order to determine local time of an area the rate of sun traverse over certain degrees is used with respect to Prime Meridian at 0°longitude.
In order to calculate the time of Delhi 82°30’ east longitude is used. In 139°45' Tokyo is located. The difference between the two is 57°15. The difference between the two is 57°×4 which is 228 minute. 1° longitude is equal to 4 minute which means 3 hours 48 minute.
Therefore, Japan is ahead 3 hours 48 minute therefore time is 1:48 pm.

Hence, the correct answer is option (D).

Note:The local time in Tokyo is 130°45' in East Longitude. The president of India was hosting the India National Flag due to the presence of Japanese Prime Minister at 10 a.m in New Delhi. The time in Japan for live telecast of events is 1:49 am.