SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Measurement, STD2 EQ-Bank 04 MC

Kathmandu is  30\(^{\circ}\) west of Perth. Using longitudinal distance, what is the time in Kathmandu when it is noon in Perth?

  1. 10:00 am
  2. 11:30 am
  3. 12:30 pm
  4. 2:00 pm
Show Answers Only

\(A\)

Show Worked Solution

\(15^{\circ}\ =\text{1 hour time difference}\)

\(\text{Longitudinal distance}\) \(=30^{\circ}\)
\(\therefore\ \text{Time Difference}\) \(=\dfrac{30}{15}\)
  \(=2\ \text{hours}\)

  
\(\text{Time in Perth}\ =\ 12\ \text{pm}\)

\(\therefore\ \text{Time in Kathmandu}\) \( =\ 12\ \text{pm}\ -\ 2\ \text{hours}\)
  \(=\ 10:00\ \text{am}\)

\(\Rightarrow A\)

Measurement, STD2 EQ-Bank 03

The table shows the approximate coordinates of two cities.

\begin{array} {|l|c|c|}
\hline
\rule{0pt}{2.5ex} \textit{City} \rule[-1ex]{0pt}{0pt} & \textit{Latitude} \rule[-1ex]{0pt}{0pt} & \textit{Longitude}\\
\hline
\rule{0pt}{2.5ex} \text{Buenos Aires} \rule[-1ex]{0pt}{0pt} & 35^{\circ}\ \text{S} \rule[-1ex]{0pt}{0pt} & 60^{\circ}\ \text{W}  \\
\hline
\rule{0pt}{2.5ex} \text{Adelaide} \rule[-1ex]{0pt}{0pt} & 35^{\circ}\ \text{S}  \rule[-1ex]{0pt}{0pt} & 140^{\circ}\ \text{E}  \\
\hline
\end{array}

  1. What is the time difference between Adelaide and Buenos Aires?   (2 marks)
  3. Roy lives in Adelaide and his cousin Juan lives in Buenos Aires. Roy wants to telephone Juan at 7 pm on Friday night, Buenos Aires time.
  4. At what time, and on what day, should Roy make the call?   (2 marks)
Show Answers Only

a.    \(13\ \text{hours}\ 20\ \text{minutes}\)

b.    \(8:20\ \text{am on Saturday}\)

Show Worked Solution

a.    \(15^{\circ}\ =\text{1 hour time difference}\)

\(\text{Angular distance}\) \(=60+140=200^{\circ}\)
\(\therefore\ \text{Time Difference}\) \(=\dfrac{200}{15}\)
  \(=13.\dot{3}\)
  \(=13\ \text{hours}\ 20\ \text{minutes}\)

  
b.    \(\text{Time in Buenos Aires}\ =\ 7\ \text{pm Friday night}\)

\(\therefore\ \text{Time in Adelaide}\) \( =\ 7\ \text{pm}\ +\ 13\ \text{hours}\ 20\ \text{minutes}\)
  \(=\ 8:20\ \text{am on Saturday}\)
   

Measurement, STD2 M2 2025 HSC 12 MC

A football game is being played in Quito (UTC –5) starting at 3:40 pm on Tuesday.

What is the time in Sydney (UTC +10) when the game starts in Quito?

  1. 10:40 am Tuesday
  2. 8:40 pm Tuesday
  3. 12:40 am Wednesday
  4. 6:40 am Wednesday
Show Answers Only

\(D\)

Show Worked Solution

\(\text{Sydney is 15 hours ahead of Quito.}\)

\(\text{3:40 pm Tuesday + 15 hours}\)

\(\text{= 3:40 am Wednesday + 3 hours}\)

\(\text{= 6:40 am Wednesday (Sydney time)}\)

\(\Rightarrow D\)

Measurement, STD1 M2 2024 HSC 22

The timetable shows an airline schedule in 24-hour time for a flight from Town \(A\) to Town \(B\).

\begin{array} {|c|c|c|}
\hline
\rule{0pt}{2.5ex} \textit{Flight} \rule[-1ex]{0pt}{0pt} & \textit{Departure} & \textit{Arrival} \\  & \textit{(local time Town A)}  & \textit{(local time Town B)} \\
\hline
\rule{0pt}{2.5ex} \text{Town $A$ to Town $B$} \rule[-1ex]{0pt}{0pt} & 1159 & 1336  \\
\hline
\end{array}

When it is 10 am in Town \(A\), the time in Town \(B\) is 9 am on the same day.

How long does the flight take to travel from Town \(A\) to Town \(B\)?   (2 marks)

Show Answers Only

\(2\ \text{h}\ 37\ \text{minutes}\)

Show Worked Solution

\(\text{Town B is 1 hour behind town A.}\)

\(\Rightarrow \ \text{11:59 in Town A is 10:59 in town B.}\)

\(\therefore\ \text{Length of flight} =13:36-10:59=2\ \text{h}\ 37\ \text{minutes}\)

♦ Mean mark 44%.

Measurement, STD2 M2 2024 HSC 37

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)

Show Answers Only

\(\text{8 am (Wed)}\)

Show Worked Solution

\(\text{Arrive in Rio: 3 pm (Wed) }\)

\(\Rightarrow\ \text{Sydney is 13 hours ahead of Rio}\)

\(\Rightarrow\ \text{Arrival time (Sydney) = 3 pm plus 13 hours = 4 am (Thu)}\)

\(\text{Flight took 20 hours.}\)

\(\text{Departure time (Sydney) = 4 am (Thu) less 20 hours = 8 am (Wed)}\)

♦ Mean mark 50%.

Measurement, STD1 M2 2023 HSC 27

When it is 10 am in Town \(A\), the time in Town \(B\) is 2 pm on the same day.

Joe lives in Town \(A\) and wishes to watch a live soccer game played in Town \(B\). The game commences at 11:30 am, Town \(B\) local time, and lasts for 2 hours.

What time will it be in Town \(A\) when the game finishes?  (2 marks)

Show Answers Only

\(9:30\ \text{am}\)

Show Worked Solution

\(11:30-4+2=9:30\ \text{am}\)

\(\therefore\ \text{The game finishes in Town } A\ \text{at}\ 9:30\ \text{am.}\)

Measurement, STD1 M2 2020 HSC 15

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)

Show Answers Only

`7\ text{am (Tuesday)}`

Show Worked Solution

`text{Melbourne} \ to \ text{UTC}\ + 11`

`text{Honolulu} \ to \ text{UTC}\ – 10`

`=>\ text{Honolulu is 21 hours behind Melbourne}`
 

`therefore \ text{Plane landing time}`

STRATEGY: 21 hours behind = 1 day behind + 3 hours.

`= 7\ text{pm} + 9 \ text{hours}`

`= 4\ text{am (Wednesday – Melb)}`

`= 7\ text{am (Tuesday – Honolulu)}`

Measurement, STD1 M2 2022 HSC 18

Singapore is 8 hours ahead of Coordinated Universal Time (UTC +8) and New York is 5 hours behind Coordinated Universal Time (UTC –5).

What is the time and day in Singapore when it is 9 pm Monday in New York?  (2 marks)

Show Answers Only

10 am Tuesday

Show Worked Solution

New York → UTC – 5 hours

Singapore → UTC + 8 hours  

Singapore is 5 + 8 = 13 hours ahead of New York

`∴` Time and day in Singapore  = Monday 9 pm + 13 hours  
  = Tuesday 9 am + 1 hour  
  = Tuesday 10 am  

♦ Mean mark 52%.

Measurement, STD2 M2 2022 HSC 29

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)

Show Answers Only

`text{1:44 am (Thu)}`

Show Worked Solution

`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)}`

Measurement, STD2 M2 2019 HSC 5 MC

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?

  1. 9 pm, Wednesday
  2. 7 am, Thursday
  3. 9 pm, Thursday
  4. 7 am, Friday
Show Answers Only

`D`

Show Worked Solution

`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`

Measurement, STD2 M2 SM-Bank 4

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)

Show Answers Only

`10text{pm (Thurs)}`

Show Worked Solution

`text(Sydney is 21 hours ahead.)`

`:.\ text(Time in Papeete)`

`= 7text{pm (Fri) less 21 hours}`

`= 10text{pm (Thurs)}`

Measurement, STD2 M2 SM-Bank 2

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.

  1. Bert is going to ring Karen at 9 pm on Tuesday, Moscow time. What day and time will it be in Sydney when he rings?  (1 mark)

  2. Karen is going to fly from Sydney to Moscow. Her flight will leave on Wednesday at 8 am, Sydney time, and will take 15 hours. What day and time will it be in Moscow when she arrives?  (2 marks)

Show Answers Only
  1. `11\ text(am Wednesday)`
  2. `9\ text(am Wednesday)`
Show Worked Solution

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)`

Measurement, STD2 M2 2018 HSC 29a

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)

Show Answers Only

`14\ text(hours)`

Show Worked Solution

`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)`

Measurement, STD2 M2 2016 HSC 27e

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)

Show Answers Only

`8:30\ text(am on Saturday)`

 

Show Worked Solution
`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)`

Measurement, STD2 M2 2006 HSC 26d

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)

Show Answers Only

`text(17.5 hours)`

Show Worked Solution
`:.\ 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)`

Measurement, STD2 M2 2007 HSC 20 MC

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?

  1.   9.00 am on Wednesday
  2. 7.40 pm on Wednesday
  3. 12.20 am on Thursday
  4. 11.00 am on Thursday
Show Answers Only

`D`

Show Worked Solution

`:.\ text(Time in Perth)`

`=\ text{10 pm (Wed) + 13 hours}`

`=\ text(11 am on Thursday)`

`=>  D`

Measurement, STD2 M2 2009 HSC 26b

John lives in Denver and wants to ring a friend in Osaka.

  1. In Denver it is 9 pm Monday. Given Osaka has a UTC of +9 and Denver has a UTC of –7, what time and day is it in Osaka then?   (1 mark) 

  2. John’s friend in Osaka sent him a text message which happened to take 14 hours to reach him. It was sent at 10 am Thursday, Osaka time.

     

    What was the time and day in Denver when John received the text?    (2 marks)

Show Answers Only
  1. `1\ text(pm Tuesday)`
  2. `8\ text(am Thursday)`
Show Worked Solution
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)`

 

♦ Mean mark 34%
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.)}`

Measurement, STD2 M2 2013 HSC 27e

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.

  1. Karin is going to ring Marco at 10 pm on Tuesday, Athens time.

     

    What day and time will it be in New York when she rings?    (1 mark)

  2. Marco is going to fly from New York to Athens. His flight will leave on Wednesday at 9 am, New York time, and will take 11 hours.

     

    What day and time will it be in Athens when he arrives?    (2 marks)

Show Answers Only
  1. `text(3pm Tuesday)`
  2. `text(Marco arrives on Thurs at 3am)`
Show Worked Solution

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)`

Measurement, STD2 M2 2011 HSC 3 MC

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?

  1.  3 am
  2. 7 am
  3. 7 pm
  4. 11 pm
Show Answers Only

`B`

Show Worked Solution

`text(Perth is 6 hrs ahead of Cape Town)`

`:.\ 1 text(pm in Perth = 7 am in Cape Town)`

`=> B`