Long. 35o,36’.5W. is in zone +2.
GMT = 3h 35m 12s
Therefore ZT = 3h 35m 12s – 2h = 1h 35m 12s.
Date = 5 July. ZT = 3h 20m 30s
Long. 145o 15’.33E is in zone -10.
Therefore GMT = 3h 20m 30s – 10h
Therefore GD = 17h 20m 30s , 4 July.
Q.3. Long. 158o, 2’.38E is in zone -11.
If GD = 2330, 3 July, then ZT = 2330 + 11h
Therefore ZT = 1030 4 July.
Long. 179o,59’.9E is in zone -12.
Therefore ZT = GD + 12h
Therefore ZT = 30. April 12h 01m + 12h
Therefore ZT = 1 May. 00h 01m
Long. 179o,59’.9W is in zone +12.
Therefore ZT = GD – 12h
Therefore ZT = 30 April 11h 59m – 12h
Therefore ZT = 29th. April 23h 59m
Both ships are positioned on the Equator and are 2 minutes of arc apart in terms of longitude.
Therefore the distance between the ships is 2 x 1855.32 m. = 3710.64 m.
Therefore, although the ships are in dates two days apart, they are only approx. 3.7 geographical miles apart.
A fuller explanation of this topic is given in the book ‘Astro Navigation Demystified’.
Useful Link: The Sun as a time keeper.