Measurement, STD2 EQ-Bank 9 MC

City \(A\) is located at longitude \(0^{\circ}\) (on the Prime Meridian) and while City \(B\) is located at longitude \(118^{\circ}\text{W}\). Ignoring timezones, what is the estimated time in City \(B\) when it is 11:00 pm in city \(A\)?

3:08 pm
6:52 pm
3:52 am
6:52 am

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\(A\)

Show Worked Solution

\(\text{Longitudinal difference}= 118^{\circ}-0=118^{\circ}\)

\(\text{Calculate time difference (using 15° = 1 hour):}\)

\(\text{Time Difference} = \dfrac{118}{15} \text{ hours} = 7.866\text{ hours}=7\text{ hours}\ 52\ \text{minutes} \)

\(\text{City B is west of City A}\ \ \Rightarrow\ \ \text{City B is behind}\)

\(\text{Time in City A}\ =\ 11:00\ \text{pm}\)

\(\therefore\ \text{Time in City B}\)	\( = 11:00\ \text{pm}-7\ \text{hours}\ 52\text{ minutes}\)
	\(=\ 4:00\ \text{pm}-52\ \text{minutes}\)
	\(=3:08\ \text{pm}\)

\(\Rightarrow A\)