Question #145712

What time will it be at 90W if it is 10pm, at 45W

Expert's answer

Since there are 24 hours in a day and 360 degrees in a circle, the sun moves across the sky at a rate of 15 degrees per hour.

To cover a distance of 1° (i.e., per longitude), the sun will take 4 minutes. Thus, the time difference per longitude is 4 minutes.

Now, between A and B, the number of longitudes is

Thus, the time to cover 45 longitudes is

Now, since B (at 90W) is to the west of A (at 45W), time-wise, A is ahead of B, by 3 hours. So, if at A, the local time is 10 pm, the local time at B is 7 pm.

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