Aussie Maths & Science Teachers: Save your time with SmarterEd
Sakura will travel from Sydney (UTC +10) to Rio de Janeiro (UTC –3).
The flight from Sydney to Rio de Janeiro will take 20 hours.
The flight will arrive in Rio de Janeiro at 3 pm on Wednesday 20 July.
On what day and at what time will Sakura leave Sydney? (2 marks)
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\(\text{8 am (Wed)}\)
\(\text{Arrive in Rio: 3 pm (Wed) }\)
\(\Rightarrow\ \text{Sydney is 13 hours ahead of Rio}\)
\(\Rightarrow\ \text{Arrival time (Sydney) = 3 pm plus 13 hours = 4 am (Thu)}\)
\(\text{Flight took 20 hours.}\)
\(\text{Departure time (Sydney) = 4 am (Thu) less 20 hours = 8 am (Wed)}\)
The time in Melbourne is 11 hours ahead of Coordinated Universal Time (UTC). The time in Honolulu is 10 hours behind UTC. A plane departs from Melbourne at 7 pm on Tuesday and lands in Honolulu 9 hours later.
What is the time and day in Honolulu when the plane lands? (2 marks)
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`7\ text{am (Tuesday)}`
`text{Melbourne} \ to \ text{UTC}\ + 11`
`text{Honolulu} \ to \ text{UTC}\ – 10`
`=>\ text{Honolulu is 21 hours behind Melbourne}`
`therefore \ text{Plane landing time}`
`= 7\ text{pm} + 9 \ text{hours}`
`= 4\ text{am (Wednesday – Melb)}`
`= 7\ text{am (Tuesday – Honolulu)}`
Sydney is 10 hours ahead of Coordinated Universal Time (UTC +10) and New York is 5 hours behind Coordinated Universal Time (UTC –5).
Tony travels from Sydney to New York. His plane leaves Sydney at 8:20 pm on Wednesday local time and flies non-stop to New York.
The flight takes 20 hours and 24 minutes.
What time and day is it in New York when the plane lands? (3 marks)
`text{1:44 am (Thu)}`
`text{Sydney is 15 hours ahead of New York.}`
`text{Plane’s arrival (Sydney time)}`
`=\ text{8:20 pm + 20h 24 min}`
`=\ text{4:44 pm (Thu)}`
`text{Plane’s arrival (New York time)}`
`=\ text{4:44 pm (Thu) – 15 hours}`
`=\ text{1:44 am (Thu)}`
The Coordinated Universal Time (UTC) of Auckland is +12 hours and the UTC of Chicago is −5 hours.
When the time in Chicago is 2 pm, Thursday, what is the time in Auckland?
`D`
`text(Auckland is 17 hours ahead of Chicago.)`
`text(2 pm Thursday + 17 hours)`
`text(= 2 am Friday + 5 hours)`
`text(= 7 am Friday)`
`=> D`
Lee wants to call home to Sydney (34°S, 151°E) from Pateete, Tahiti (17°S, 149°W) when it is 7 pm on Friday in Sydney.
Sydney is eleven hours ahead of UTC. Papeete is ten hours behind UTC.
Give the time and day in Papeete when she should make the call. (Ignore time zones.) (2 marks)
`10text{pm (Thurs)}`
`text(Sydney is 21 hours ahead.)`
`:.\ text(Time in Papeete)`
`= 7text{pm (Fri) less 21 hours}`
`= 10text{pm (Thurs)}`
Bert is in Moscow, which is three hours behind of Coordinated Universal Time (UTC).
Karen is in Sydney, which is eleven hours ahead of UTC.
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a. `text(Bert is 14 hours behind Karen.)`
`text(At 9 pm in Moscow:)`
| `text(Time in Sydney)` | `= 9\ text(pm + 14 hours)` |
| `= 11\ text(am Wednesday)` |
| b. | `text(Arrival time)` | `= 8\ text(am + 15 hours)` |
| `= 11\ text{pm Wednesday (Sydney time)}` |
| `:.\ text(Time in Moscow)` | `= 11\ text(pm less 14 hours)` |
| `= 9\ text(am Wednesday)` |
The time in Brisbane is 4.5 hours ahead of the time in New Delhi. John flew from New Delhi to Brisbane via Singapore. His plane left New Delhi at 11.30 am (New Delhi time), stopped for 3 hours in Singapore, and arrived in Brisbane at 9.00 am the following day (Brisbane time).
What was the plane’s total flying time? (3 marks)
`14\ text(hours)`
`text(11:30 am in New Delhi = 4 pm in Brisbane)`
| `text(Total travel time)` | `= 4\ text{pm → 9 am (next day)}` |
| `= 17\ text(hours)` |
| `:.\ text(Flying time)` | `= 17-3` |
| `= 14\ text(hours)` |
Melbourne time is 6 hours ahead of Dubai time.
A plane leaves Melbourne on Friday at 11.30 pm. The flight time to Dubai is 15 hours.
What will be the time and the day in Dubai when the plane is due to land? (2 marks)
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`8:30\ text(am on Saturday)`
| `text(Arrival time)` | `= 11:30 + 15\ text(hours)` |
| `= 14:30\ text{(Melbourne time)}` |
`:.\ text(Arrival time in Dubai time)`
`= 14:30-6\ text(hours)`
`= 8:30\ text(am on Saturday)`
Cassie flew from London to Manila. Manila is 8 hours ahead of London.
Her plane left London at 9.30 am Monday (London time), stopped for 5 hours in Singapore and arrived in Manila at 4.00 pm Tuesday (Manila time).
What was the total flying time? (Ignore time zones.) (2 marks)
`text(17.5 hours)`
| `:.\ text(Flight time)` | `=\ text{9:30 (Mon) to 4:00 pm (Tues)}` |
| `- \ text{(stopover + time difference)}` | |
| `= 14.5 + 16-(5 + 8)` | |
| `= 17.5\ text(hours)` |
Kim lives in Perth. He wants to watch an ice hockey game being played in Toronto starting at 10.00 pm on Wednesday.
Toronto is 13 hours behind Perth.
What is the time in Perth when the game starts?
`D`
`:.\ text(Time in Perth)`
`=\ text{10 pm (Wed) + 13 hours}`
`=\ text(11 am on Thursday)`
`=> D`
John lives in Denver and wants to ring a friend in Osaka.
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What was the time and day in Denver when John received the text? (2 marks)
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| i. | `text{Denver is behind Osaka time by 16 hours.}` |
| `:.\ text(Time in Osaka)` | `= 9\ text(pm Monday plus 16 hours)` |
| `= 1\ text(pm Tuesday)` |
| ii. | `text(Denver is 16 hours behind Osaka)` |
| `:.\ text(John will receive the text at 10 am Thursday)` | |
| `text(less 16 hours plus 14 hours.)` | |
| `text{(i.e. 8 am Thursday.)}` |
Karin is in Athens, which is two hours ahead of Greenwich Mean Time. Marco is in New York, which is five hours behind Greenwich Mean Time.
What day and time will it be in New York when she rings? (1 mark)
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What day and time will it be in Athens when he arrives? (2 marks)
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i. `text(Athens is Greenwich)\ +\ text(2 hours)`
`text(New York is Greenwich – 5 hours)`
`text(Athens is 7hrs ahead of New York)`
`=>\ text(10pm Tuesday in Athens) = text(3pm Tuesday in New York)`
`:.\ text(It will be 3pm Tuesday when Karin rings)`
ii. `text(Flight takes 11 hours)`
`text(If Marco leaves on Wed at 9am)`
`=>\ text(He arrives at 9am + 11 hrs + 7 hours)`
`:.\ text(Marco arrives on Thurs at 3am)`
Perth in Western Australia is 8 hours ahead of Coordinated Universal Time (UTC). Cape Town in South Africa is 2 hours ahead of UTC.
What is the time in Cape Town when it is 1 pm in Perth?
`B`
`text(Perth is 6 hrs ahead of Cape Town)`
`:.\ 1 text(pm in Perth = 7 am in Cape Town)`
`=> B`