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General Mathematics · Unit 3 · Earth geometry and time zones · Time zones

Understand the meaning of Greenwich Mean Time (GMT), International Date Line and Coordinated Universal Time (UTC).

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Question 1

A multinational company schedules a live product launch event to begin at 14:00 UTC on Thursday, 8 June. (a) Explain why the company chooses to publish the start time in UTC rather than a specific city's local time. (1 mark) (b) Calculate the local time and date in Tokyo (UTC+9) when the event begins. (1 mark) (c) Calculate the local time and date in Honolulu (UTC−10) when the event begins. (1 mark) (d) An employee in Suva, Fiji (UTC+12) crosses the International Date Line westward into Samoa (UTC−11) at 23:30 local Fiji time on Thursday, 8 June. State the local time and date in Samoa immediately after crossing. (1 mark)

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Question 2

A shipping company schedules a cargo vessel to depart from Auckland, New Zealand at \(0845\) hours local time on Thursday and arrive in San Francisco, USA after a journey of \(72\) hours. Use the table below showing UTC offsets for each city. (a) Calculate the UTC time and day when the vessel departs Auckland. (1 mark) (b) Calculate the UTC time and day when the vessel arrives in San Francisco. (1 mark) (c) Determine the local time and day of arrival in San Francisco. (2 marks)

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