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What is the difference in the local time between two places in latitude \(55^{\circ}\text{N}\) if they are located at longitudes \(8^{\circ}\text{W}\) and \(18^{\circ}\text{E...


Question

What is the difference in the local time between two places in latitude \(55^{\circ}\text{N}\) if they are located at longitudes \(8^{\circ}\text{W}\) and \(18^{\circ}\text{E}\) respectively?

Options

A) 60 mins

B) 80 mins

C) 98 mins

D) 104 mins

The correct answer is D.

Explanation:

Longitude difference = \(8^{\circ} + 18^{\circ}\) = \(26^{\circ}\)
\(1^{\circ} \rightarrow 4 \text{min}\)
\(26^{\circ} \rightarrow 26 \times 4 \text{min}\)
\(= 104 \text{min}\)

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Discussion (2)

  • 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 = \(8^{\circ} + 18^{\circ}\) = \(26^{\circ}\)
    \(1^{\circ} \rightarrow 4 \text{min}\)
    \(26^{\circ} \rightarrow 26 \times 4 \text{min}\)
    \(= 104 \text{min}\)