Answer :

Sun rises in the east and sets in the west. Thus sun moves from east to west as the earth rotates from west to east. Earth can be seen as a sphere of 360 ̊. Earth rotates this 360 ̊ in 24 hours.


Rotation of earth in 1 hour = 360/24 = 15 ̊


The plane takes off from Brasilia on 31 December, Sunday at morning at 11.00 AM. The longitudinal coordinates that determine the time of Brasilia are 47.52 ̊ W. The next stopover of the flight is New Delhi that has the longitudinal time zone in the coordinates 82.5 ̊ E.


The difference in longitude between Brasilia and New Delhi = 47.52 ̊ W + 82.5 ̊ E


= 130.02 ̊ E


Difference in time = 130.02/15 = 8.6 hours


= 8 hours + (0.6*60) minutes


= 8 hours 36 minutes (approx.)


Since the earth rotates from west to east, time zone at 82.5 ̊ E will be ahead of 47.52 ̊ W. Thus time would be lead in India by 8 hours 36 minutes.


Time in India when the flight takes off = 7.36 PM


The destination of the flight is Vladivostok that has the longitudinal time zone in the coordinates 131.88 ̊ E.


The longitudinal difference of Brasilia and New Delhi = 47.52 ̊ W + 131.88 ̊ E


= 179.4 ̊ E


Difference in time = 179.4/15 = 11.96 hours


= 11 hours + (0.96*60) minutes


= 11 hours 57 minutes (approx.)


Since the earth rotates from west to east, time zone at 131.88 ̊ E will be ahead of 47.52 ̊ W. Thus time would be ahead in Vladivostok by 11 hours 57 minutes.


Time in Vladivostok when the flight takes off = 10.57 PM


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