Time and Time Difference

Measurement, STD2 EQ-Bank 25

A bus departs Sydney at 8:00 am on Monday for Perth. The bus makes five stops on the journey whose durations are given below:

Dubbo: 45 minutes
Broken Hill: 1 hour 15 minutes
Port Augusta: 50 minutes
Ceduna: 40 minutes
Norseman: 1 hour 10 minutes

The total driving time (excluding stops) is 52 hours and 30 minutes. The bus arrives in Perth at 3:25 pm on Thursday.

Calculate the total time for the journey from Sydney to Perth, including all stops. Give your answer in hours and minutes. (2 marks)
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Convert your answer from part (a) to days, hours and minutes, and hence state the day and time the bus arrives in Perth. Ignore time zones in your calculations. (2 marks)
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a. $\text{57 hours 10 minutes}$

b. $\text{Bus arrives on Wednesday at 5:10 pm with the journey}$

$\text{taking 2 days 9 hours 10 minutes.}$

Show Worked Solution

a. $\text{Total stopping time}$

$=45+75+50+40+70$

$= 280 \text{ minutes}= 4\ \text{hours}\ 40 \text{ minutes} $

$\text{Total journey}$

$=52\ \text{hours}\ 30 \text{ minutes}+4\ \text{hours}\ 40 \text{ minutes} $

$=57\ \text{hours}\ 10 \text{ minutes} $

b. $\text{Convert 57 hours 10 minutes to days, hours and minutes:}$

$57\ \text{hours}=(2 \times 24) + 9=2\ \text{days}\ 9\ \text{hours}$

$57\ \text{ hours 10 minutes}=2\ \text{days}\ 9\ \text{hours}\ 10\ \text{minutes}$

$\text{Bus arrival in Perth:}$

$\rightarrow\ \text{Bus departs 8 am Monday}$

$\rightarrow\ \text{Monday 8:00 am + 2 days = Wednesday 8:00 am}$

$\rightarrow\ \text{Wednesday 8:00 am + 9 hours 10 minutes = Wednesday 5:10 pm}$

$\therefore\ \text{Bus arrives Wednesday at 5:10 pm.}$

Day 1 of the Ashes Test match at the SCG begins at 10:30 am. Each session of play lasts 2 hours, with a 40-minute lunch break after the first session and a 20-minute tea break after the second session. Rain delays the start of the third session by 37 minutes.

At what time does play finish for Day 1? (2 marks)

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$6:07\ \text{pm}$

Show Worked Solution

$\text{Total time }$

$=2\ \text{hours}\times 3+40\ \text{minutes}+20\ \text{minutes}+37\ \text{minutes}$

$=7\ \text{hours}\ 37\ \text{ minutes}$

$\text{Since match starts at }10:30\ \text{am}:$

$\text{Finish time}=10:30\ \text{am}+7\ \text{hours}\ 37\ \text{ minutes}=6:07\ \text{pm}$

Measurement, STD2 EQ-Bank 27

A basketball game starts at 6:35 pm. The game consists of four quarters that are 10 minutes each, with a 2-minute break after the first and third quarters and an 8-minute break at half time.

The home team scores a three-pointer 6 minutes into the second quarter. At what time does this occur? (2 marks)
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If 4 minutes injury time is added to the total time, at what time does the game finish? (2 marks)
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a. $6:53\ \text{pm}$

b. $7:31\ \text{pm}$

Show Worked Solution

a. $\text{Match starts at }6:35\ \text{pm}$

$\text{Calculate time elapsed until 6 minutes into the second quarter:}$

$\text{Total time before three-pointer}$

$=10+2+6=18\text{ minutes}$

$\therefore\ \text{Three pointer is scored at: }6:35+18\ \text{minutes}=6:53\ \text{pm}$

b. $\text{Total duration of game}$

$=4 \times 10+2 \times 2+8+4=56\ \text{minutes}$

$\therefore\ \text{Finish time}=6:35+56\ \text{minutes}=7:31\ \text{pm}$

Measurement, STD2 EQ-Bank 24

Sarah's netball match starts at 1:45 pm. The match consists of four quarters that are 12 minutes each, with a 3-minute break after the first and third quarters, and a 7-minute break at half time.

Sarah intercepts the ball 8 minutes into the third quarter. At what time does this occur? (2 marks)
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At what time does the match finish? (2 marks)
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a. $2:27\ \text{pm}$

b. $2:46\ \text{pm}$

Show Worked Solution

a. $\text{Match starts at }1:45\ \text{pm}$

$\text{Calculate time elapsed until 8 minutes into the third quarter:}$

$\text{Total time before intercept}$

$=12+3+12+7+8=42\text{ minutes}$

$\therefore\ \text{Sarah intercepts the ball at: }1:45+42\ \text{minutes}=2:27\ \text{pm}$

b. $\text{Total duration of game}$

$=4 \times 12+2 \times 3+7=61\ \text{minutes}$

$\therefore\ \text{Finish time}=1:45+61\ \text{minutes}=2:46\ \text{pm}$

Measurement, STD2 EQ-Bank 7 MC

On Tuesday Sarah started work at 6:45 am and finished at 3:12 pm.

For how many hours and minutes did Sarah work on Tuesday?

8 hours 27 minutes
8 hours 33 minutes
9 hours 27 minutes
9 hours 33 minutes

Show Answers Only

$A$

Show Worked Solution

$\text{Break into steps}$

$\text{From 6:45 am to 7:00 am: }\ 60-45 = 15 \text{ minutes} $

$\text{From 7:00 am to 3:12 pm: }\ 8\ \text{hours}\ 12 \text{ minutes} $

$\text{Total: }\ 8\ \text{hours}+12 \text{ minutes} +15 \text{ minutes}=8\ \text{hours}\ 27\ \text{minutes}$

$\Rightarrow A$

Measurement, STD2 EQ-Bank 5 MC

A bus departs at 8:23 am and arrives at its destination at 11:47 am.

How long was the bus journey?

3 hours 24 minutes
3 hours 34 minutes
4 hours 24 minutes
4 hours 34 minutes

Show Answers Only

$A$

Show Worked Solution

$\text{Method 1: Break into steps}$

$\rightarrow\text{From 8:23 am to 9:00 am: }\ 60-23 = 37 \text{ minutes} $

$\rightarrow\text{From 9:00 am to 11:47 am: }\ 2\ \text{hours}\ 47 \text{ minutes} $

$\rightarrow\text{Total: }\ 37 \text{ minutes} + 2\ \text{hours}+\ 47 \text{ minutes}=2\ \text{hours}\ 84\ \text{minutes}$

$=3\ \text{hours}\ 24\ \text{minutes}$

$\text{Method 2: Calculate hours and minutes separately}$

$\rightarrow\text{Hours: } \ 11-8 = 3 \text{ hours} $

$\rightarrow\text{Minutes: }\ 47-23 = 24 \text{ minutes} $

$\rightarrow\text{Total: }\ 3 \text{ hours } 24 \text{ minutes} $

$\Rightarrow B$

Measurement, STD2 EQ-Bank 3 MC

It is currently 2:17 pm. A train is due to arrive at 3:08 pm.

How long do you need to wait for the train?

49 minutes
51 minutes
1 hour 9 minutes
1 hour 51 minutes

Show Answers Only

$B$

Show Worked Solution

$\text{Method 1: Break into steps}$

$\rightarrow\text{From 2:17 pm to 3:00 pm: }\ 60-17 = 43 \text{ minutes} $

$\rightarrow\text{From 3:00 pm to 3:08 pm: }\ 8 \text{ minutes} $

$\rightarrow\text{Total: }\ 43+8 = 51 \text{ minutes} $

$\text{Method 2: Calculate directly}$

$\rightarrow 3:08-2:17 = 51 \text{ minutes} $

$\Rightarrow B$

Measurement, STD2 EQ-Bank 21

A concert runs for 5400 seconds.

Convert this time to hours and minutes. (2 marks)
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If the concert finishes at 10:45 pm, what time did it start? (2 marks)
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a. $\text{1 hours 30 minutes}$

b. $\text{9:15 pm}$

Show Worked Solution

a. $\text{Step 1: Convert seconds to minutes}$

$5400 \text{ seconds} = \dfrac{5400}{60} \text{ minutes} = 90 \text{ minutes} $

$\text{Step 2: Convert minutes to hours and minutes}$

$90 \text{ minutes} = \dfrac{90}{60} \text{ hours} = 1.5 \text{ hours} $

$\therefore\ 90 \text{ minutes} = 1 \text{ hour } 30 \text{ minutes} $

b. $\text{Finish time: 10:45 pm}$

$\text{Concert duration: 1 hours 30 minutes}$

$10:45\ \text{pm}-1\ \text{hour}=9:45\ \text{pm}$

$9:45\ \text{pm}-30\ \text{minutes}=9:15\ \text{pm}$

$\text{Start time: 9:15 pm}$

Measurement, STD2 EQ-Bank 20

A movie runs for 8400 seconds.

Convert this time to hours and minutes. (2 marks)
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If the movie starts at 7:15 pm, what time will it finish? (1 mark)
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a. $\text{2 hours 20 minutes}$

b. $\text{9:35 pm}$

Show Worked Solution

a. $\text{Step 1: Convert seconds to minutes}$

$8400 \text{ seconds} = \dfrac{8400}{60} \text{ minutes} = 140 \text{ minutes} $

$\text{Step 2: Convert minutes to hours and minutes}$

$140 \text{ minutes} = \dfrac{140}{60} \text{ hours} = 2.333… \text{ hours} $

$\text{To find the minutes part:}\ 140 = 2 \times 60 + 20 $

$\therefore\ 140 \text{ minutes} = 2 \text{ hours } 20 \text{ minutes} $

b. $\text{Starting time: 7:15 pm}$

$\text{Movie duration: 2 hours 20 minutes}$

$\text{Finish time: 9:35 pm}$

Measurement, STD2 EQ-Bank 8 MC

Convert 10 500 seconds to hours and minutes.

2 hours 55 minutes
3 hours 15 minutes
2 hours 50 minutes
175 minutes

Show Answers Only

$A$

Show Worked Solution

$\text{Convert seconds to minutes:}$

$10\,500 \text{ seconds} = \dfrac{10\,000}{60} \text{ minutes} = 175 \text{ minutes} $

$\text{Convert minutes to hours and minutes:}$

$175 \text{ minutes} = \dfrac{175}{60} \text{ hours} = 2.916… \text{ hours} $

$\text{Calculate minutes:}\ 175-2 \times 60=55 $

$\therefore\ 175 \text{ minutes} = 2 \text{ hours } 55 \text{ minutes} $

$\Rightarrow A$

Measurement, STD2 EQ-Bank 10 MC

Convert 7200 seconds to hours.

1 hour
2 hours
12 hours
120 hours

Show Answers Only

$B$

Show Worked Solution

$ 7200 \text{ seconds} = \dfrac{7200}{60} \text{ minutes} = 120 \text{ minutes} $

$ 120 \text{ minutes} = \dfrac{120}{60} \text{ hours} = 2 \text{ hours} $

$\Rightarrow B$

Measurement, STD2 EQ-Bank 6 MC

Jeremy watched a movie at the cinema that began at 11:35 am. If it finished at 2:05 pm, what was the duration of the movie, in minutes?

25 minutes
125 minutes
150 minutes
250 minutes

Show Answers Only

$C$

Show Worked Solution

$\text{11:35 to 2:05 = 2.5 hours}$

$\text{To convert hours to minutes multiply by 60.}$

$ 2.5 \text{ hours} = 2.5 \times 60 \text{ minutes} = 150 \text{ minutes} $

$\Rightarrow C$

Measurement, STD2 EQ-Bank 2 MC

Convert 180 seconds to minutes.

2 minutes
3 minutes
18 minutes
10,800 minutes

Show Answers Only

$B$

Show Worked Solution

$\text{To convert seconds to minutes divide by 60.}$

$ 180 \text{ seconds} = \dfrac{180}{60} \text{ minutes} = 3 \text{ minutes} $

$\Rightarrow B$

Measurement, STD2 EQ-Bank 25

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}

What is the time difference between Adelaide and Buenos Aires? (2 marks)
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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.
At what time, and on what day, should Roy make the call? (2 marks)
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a. $13\ \text{hours}\ 20\ \text{minutes}$

b. $8:20\ \text{am on Saturday}$

Show Worked Solution

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

$\text{Angular distance}=60+140=200^{\circ}$

$\text{Time Difference}=\dfrac{200}{15}=13.\dot{3}=13\ \text{hours}\ 20\ \text{minutes}$

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?

10:40 am Tuesday
8:40 pm Tuesday
12:40 am Wednesday
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)

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$2\ \text{h}\ 37\ \text{minutes}$

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)

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$\text{8 am (Wed)}$

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)

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`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)

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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, STD1 M2 2019 HSC 2 MC

What is the time difference between 8:35 am and 2:10 pm?

5 hours and 25 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 35 minutes

Show Answers Only

`A`

Show Worked Solution

`text(8:35 am − 2:10 pm = 5 hours and 25 minutes)`

♦ Mean mark 48%.

`=> A`

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?

9 pm, Wednesday
7 am, Thursday
9 pm, Thursday
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 EQ-Bank 30

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.

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)

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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)

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Show Answers Only

`11\ text(am Wednesday)`
`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)

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`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?

9.00 am on Wednesday
7.40 pm on Wednesday
12.20 am on Thursday
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.

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)

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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)

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Show Answers Only

`1\ text(pm Tuesday)`
`8\ text(am Thursday)`

Show Worked Solution

a.	`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%

b.	`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.

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)

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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)

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Show Answers Only

`text(3pm Tuesday)`
`text(Marco arrives on Thurs at 3am)`

Show Worked Solution

a. `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)`

b. `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?

3 am
7 am
7 pm
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`