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Island \(A\) and island \(B\) are both on the equator.
The longitude of island \(A\) is \(\text{5°E}\) and the longitude of island \(B\) is \(\text{90°W}\).
Joanna leaves island \(A\) at 7 pm on Monday evening.
She arrives at island \(B\) after travelling for 11 hours and 24 minutes.
What local time AND day is it on island \(B\) when she arrives? (3 marks)
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\(12: 04 \ \text{am}\ \text{(Tue)}\)
\(\text{Longitudinal difference}=90+5=95^{\circ}\)
\(\text{Calculate time difference (using \(15^\circ=1\) hr):}\)
\(\text{Time difference}=\dfrac{95}{15}=6.\dot{3}=\text{6 hours 20 mins}\)
\(\text{Island \(A\) is east of island \(B\)} \ \Rightarrow \ \text{Island \(A\) is ahead}\)
| \(\text{Time (Island \(B\))}\) | \(=\text{Departure time}+ \text{travel time}-\text{6 h 20 min}\) |
| \(=7 \ \text{pm (Mon)}+\text{11 h 24 m}-\text{6 h 20 m}\) | |
| \(=7 \ \text{pm}+\text{5 h 4 m}\) | |
| \(=12: 04 \ \text{am}\ \text{(Tue)}\) |