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Since we are looking for the difference in local time between two longitudes 8 degrees west and 18 degrees east. First find the angular difference which is 8 + 18 = 26 degrees.

The earth rotates 360 degrees in 24hours. Therefore it rotates 15 degrees in 1 hour.

That is 360 degrees = 24hrs

x degrees = 1 hr

When you do the math, you get 15 degrees.

Now, if the angular difference between the two locations is 26 degrees, and 1 hour is equivalent to 60 minutes...Then,

15degrees = 60mins

26degrees = x mins

Do the math, and you get 104 minutes which is option D.

Longitude difference = \(8^{\circ} + 18^{\circ}\) = \(26^{\circ}\)

\(1^{\circ} \rightarrow 4 \text{min}\)

\(26^{\circ} \rightarrow 26 \times 4 \text{min}\)

\(= 104 \text{min}\)