It is 12 noon at Delhi. What would be the local time in Brasilia?

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 time at India is 12.00 in the noon. It has the longitudinal time zone in the coordinates 82.5 ̊ E. The longitudinal coordinates that determine the time of Brasilia is 47.52 ̊ W.

The difference in longitude between Brasilia and India = 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 Brasilian time would be behind the Indian time by 8 hours 36 minutes.

Time in Brasilia = 3.24 AM