Answer:
[tex]18:40[/tex] or [tex]6:40\ \text{PM}[/tex]
Explanation:
Number of longitudes on Earth = [tex]360^{\circ}[/tex]
In one hour the Earth rotates [tex]15^{\circ}[/tex]
So, [tex]1^{\circ}[/tex] takes [tex]\dfrac{60}{15}=4\ \text{minutes}[/tex]
[tex]100^{\circ}=4\times 100=400\ \text{minutes}\\ =6\ \text{hours and }40\ \text{minutes}[/tex]
Since the longitude is in the East the time difference will be added.
So, if it is noon in Greenwich the time at 100 degree East will be [tex](12+6:40)=18:40[/tex] or [tex]6:40\ \text{PM}[/tex].
