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Middle Years

3.05 Time zones and the date line

Worksheet
Time zones
1

Consider the map below:

a

State the two cities that are in the same time zone.

b
How many hours is Hobart ahead of Paris?
c

Find the time in Cairo when it is 11:00 am in Beijing.

d

Find the time in Hobart when it is 2:00 pm in Moscow.

2

Consider the map below:

a

How many hours is San Francisco behind Cape Town?

b

Find the time in San Francisco when it is 17:00 in Cape Town.

c

What time is it in Bamako when it is 10:00 am in Nuuk?

3

Which of the following locations will be the first to celebrate New Year's Eve?

  • Canberra \left( \text{UTC} +10 \right)

  • Darwin \left( \text{UTC}+9 \right)

  • Perth \left( \text{UTC}+8 \right)

4

Which of the following cities will have a time of 11 pm when it is 4 pm UTC?

  • Cairo \left( \text{UTC}+2 \right)

  • Singapore \left( \text{UTC}+7 \right)

  • Rio de Janeiro \left( \text{UTC}-3 \right)

5

Which of the following cities will have a time after 3 am when it is 2 am in Cairo \left( \text{UTC}+2 \right)?

  • Singapore \left( \text{UTC}+7 \right)

  • Rio de Janeiro \left( \text{UTC}-3 \right)

  • Washington \left( \text{UTC}-5 \right)

6

Consider the following tables of time zones:

CityUTC
\text{Los Angeles}-8
\text{Tijuana}-8
\text{Vancouver}-8
\text{Chicago}-6
\text{Mexico City}-6
\text{San Salvador}-6
\text{Havana}-5
\text{New York}-5
\text{Toronto}-5
\text{Athens}+2
\text{Cairo}+2
\text{Kiev}+2
CityUTC
\text{Baku}+4
\text{Dubai}+4
\text{Yerevan}+4
\text{Afghanistan}+4.5
\text{Sri Lanka}+5.5
\text{Hong Kong}+8
\text{Perth}+8
\text{Shanghai}+8
\text{Singapore}+8
\text{Seoul}+9
\text{Tokyo}+9
\text{Auckland}+12
a

How many hours is Toronto behind Perth?

b

How many hours is Afghanistan behind Shanghai?

c

When it is 11:00 am in Chicago, what time is it in Dubai?

d

When it is 9:00 am in Mexico City, what time is it in Sri Lanka?

e

Find the time and day in Tokyo when it is 13:15 on a Thursday in Tijuana.

7

The following table shows the time of several locations relative to UTC.

UTCLocation
- 5New York, Cuba, Peru
- 4Chile, Barbados, Brazil (west), Bolivia
- 3Argentina, Brazil (east), Uruguay, Greenland
- 2South Sandwich Islands
- 1Azores
0UK, Ireland, Iceland, Portugal, Ghana, Liberia, Mali
+1Algeria, Angola, Chad, Bosnia, Croatia
+2Finland, Greece, Lebanon, Egypt, South Africa
+3Russia (west), Saudi Arabia, Kenya, Madagascar, Iraq
+3.5Iran
+4Mauritius, United Arab Emirates, Armenia
+4.5Afghanistan
+5Pakistan, Maldives, Kazakhstan
+5.5India, Sri Lanka
a

Consider the locations Uruguay and Algeria.

i

Using the table, which location is ahead of the other in time?

ii

Calculate the time difference between Uruguay and Algeria.

iii

When it is 21:25 on the 13th day of the month in Uruguay, state the time in Algeria.

iv

When it is 21:25 on the 13th day of the month in Uruguay, state the day in Algeria.

b

Consider the locations South Sandwich Islands and Brazil (west).

i

Using the table, which location is ahead of the other in time?

ii

Calculate the time difference between South Sandwich Islands and Brazil (west).

iii

When it is 6:00 pm on the 17th day of the month in South Sandwich Islands, state the time in Brazil (west).

c

Consider the locations Kenya and Mauritius.

i

Using the table, which location is ahead of the other in time?

ii

Calculate the time difference between Kenya and Mauritius.

iii

When it is 17:25 on the 15th day of the month in Kenya, state the time in Mauritius.

8

In the following map, the colour of the region is used to indicate the time zone:

a

Find the time difference between Toronto and Rio de Janeiro.

b

Find the time difference between Beijing and Johannesburg.

c

Find the time difference between Moscow and Canberra.

d

Find the time difference between Toronto and Moscow.

e

Find the time difference between Cairo and Tokyo.

f

If it is 9 pm on Wednesday in Santiago, what day is it in Johannesburg?

g

If it is 5:00 am on Wednesday in Moscow, what day is it in San Francisco?

9

Calculate the time difference between the following:

a

Manila \left( \text{UTC} +8 \right) and Tehran\left( \text{UTC} +3 \right)

b

Azores \left( \text{UTC} -1 \right) and Miami \left( \text{UTC} -5 \right)

10

Maria wants to know the time in Bangkok \left( \text{UTC}+7 \right) when it is 11:00 am in Athens \left( \text{UTC}+2 \right).

a

Calculate the time difference between the two cities.

b

Hence, find the time in Bangkok when it is 11:00 am in Athens.

11

Mae wants to know the time in Quebec \left( \text{UTC}-5 \right) when it is 11:00 pm on Saturday in Honolulu \left( \text{UTC}-10 \right).

a

Calculate the time difference between the two cities.

b

Hence, find the time in Quebec when it is 11:00 pm on Saturday in Honolulu.

c

What day is it in Quebec when it is 11 pm on Saturday in Honolulu?

12

Han, who is in Melbourne \left( \text{UTC}+10\right) at the moment, has an interview over Skype with the human resources manager of an American trading firm at 4 pm on Sunday, Memphis \left( \text{UTC}-6 \right) time.

a

Calculate the time difference between the two cities.

b

Hence find the time in Melbourne when it is 4 pm on Sunday in Memphis.

c

What day will the interview fall on in Melbourne?

13

Zurich is 7 hours behind Taipei. If it is 11:00 pm Wednesday in Taipei, state the time in Zurich.

14

An astronomer in Beirut observes a solar flare at 11 pm local time \left( \text{UTC}+3 \right).

Determine the local time his colleague in Pretoria would have seen the same flare if his time zone is \text{UTC}+2.

15

Three scientists collaborating on the same project all need to get together for weekly meetings. Each scientist is in a different location. Buzz is located in Rome \left( \text{UTC}+1 \right). Han is located in Cairo \left( \text{UTC}+2 \right). Beth is located in San Francisco \left( \text{UTC}-8 \right).

a

Which scientist will have the earliest local time during the meeting?

b

Which of the scientists will have the latest local time during the meeting?

c

Beth suggests 8 pm in San Francisco. Determine the time it would be in the other two cities:

i

Rome

ii

Cairo

d

Buzz suggests 8 am in Rome. Determine the time it would be in the other two cities:

i

Cairo

ii

San Francisco

16

A company wants to set up a business meeting between four of its employees. The employees are in the following cities: Cairo \left( \text{UTC}+2 \right), Amsterdam \left( \text{UTC}+1 \right), London \left( \text{UTC }0 \right), Perth \left( \text{UTC}+8 \right).

If it is 1 pm in Perth, determine the time in the following cities:

a

Cairo

b

Amsterdam

c

London

17

Sophia, Quentin and Harry work for the same company from offices in three different cities. The cities and time zones of each person is given in the table:

They want to organise an hour long online meeting within everyone's working hours.

PersonCityTime zone
\text{Sophia}\text{Los Angeles}\text{UTC}-8
\text{Quentin}\text{Chicago}\text{UTC}-6
\text{Harry}\text{Melbourne}\text{UTC}+10
a

A person can attend the meeting if it starts after 8:00 and ends before 18:00 in their local time.

Which of these times should Harry choose to make sure that Sophia and Quentin can both attend? The options are given in Harry's time zone.

A

16:00

B

13:00

C

9:00

D

6:00

b

Each person only works Monday to Friday. State the days that Harry could choose to have the meeting in his time zone.

18

The rugby World Cup final is broadcast live across the world. One particular year it was held in Wales and the game started at 4 pm local time. Where Beth lives, it is 17 hours behind Wales. Determine the time the game started in her local time.

19

Valerie in Hobart has a phone conversation with Oprah in Manila. Manila is 2 hours behind Hobart time.

a

If Valerie calls at 10:30 am, determine the time it is for Oprah.

b

If Oprah calls at 7:30 pm, determine time it is for Valerie.

20

Ellie in Darwin is expecting a phone call from Avril in Shanghai. Shanghai is 1.5 hours behind Darwin time.

a

If Ellie calls at 12:15 am, determine the time it is for Avril.

b

If Avril calls at 11:45 pm, determine the time it is for Ellie.

21

Lisa in Alice Springs is expecting a phone call from Georgia in Tokyo. Tokyo is 0.5 hrs behind Alice Springs time.

a

If Lisa calls at 9:15 am, determine the time it is for Georgia.

b

If Georgia calls at 4:15 pm, determine the time it is for Lisa.

22

The table shows the current time in major capital cities beginning with the letter M:

a

When it is 15:10 Minsk time, determine the time in Madrid. Give your answer in 24-hour time.

b

When it is 11:20 am Montevideo time, determine the time in Minsk.

CityTime
MadridThu 1:58 am
ManaguaWed 5:58 pm
ManilaThu 7:58 am
MelbourneThu 9:58 am
Mexico CityWed 6:58 pm
MiamiWed 7:58 pm
MinneapolisWed 6:58 pm
MinskThu 2:58 am
MontevideoWed 8:58 pm
MontrealWed 7:58 pm
MoscowThu 3:58 am
MumbaiThu 5:58 am
Travel and daylight savings
23

A plane travels from El Paso \left( \text{UTC}-7 \right) at 10:00 am on Friday on a 13-hour flight to Brazilia \left( \text{UTC}-3 \right).

a

Calculate the time difference between the two cities.

b

State the time in Brazilia when it is 10:00 am in El Paso.

c

State the time in Brazilia at which the plane will arrive.

d

State the day at which the plane will arrive in Brazilia.

24

A plane travels from Hawaii \left( \text{GMT}-10 \right) at 9:00 pm on Sunday on a 11-hour flight to Santiago \left( \text{GMT}-4 \right).

a

Calculate the time difference between the two cities if Santiago operates on daylight saving time and Hawaii operates on standard time.

b

State the time is in Santiago when it is 9:00 pm in Hawaii.

c

State the time in Santiago at which the plane will arrive.

d

State the day at which the plane arrive in Santiago.

25

When the time is 5:23 pm in Honolulu, it is 10:23 pm in Miami. You take 19 hours to travel from Honolulu to Miami.

If you leave at 4:50 pm on Sunday, determine:

a

The local time that you arrive in Miami.

b

The day you arrive in Miami.

26

Tina looks at her flight details. Her plane leaves at 6:00 am on Wednesday and arrives at her destination at 8:00 pm on Tuesday (local time). The flight will take 12 hours.

Calculate the time difference between her origin and destination.

27

A plane left airport A at 8:30 pm on Tuesday and landed at airport B at 9:00 pm (local time) on the same day.

If airport B is 19 hours behind airport A, how long did the trip take?

28

The following table displays the departure and flight times for three Air China flights:

Flight NumberAirport CodeDeparture TimeAirport CodeFlight Time
\text{CA}994\text{San Francisco} \\ \text{UTC -8} \text{ (SFO)} \text{1:13 pm}\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} 12 \text{ hours and } \\ 31 \text{ mins.}
\text{CA}927\text{Shanghai Pudong} \\ \text{UTC +8} \text{ (PVG)} \text{5:56 pm}\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} 8 \text{ hours and } \\ 31 \text{ mins.}
\text{CA}950\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} \text{7:21 pm}\text{San Francisco} \\ \text{UTC -8} \text{ (SFO)} 14 \text{ hours and } \\ 37 \text{ mins.}
a

Determine the time CA994 arrives in Beijing local time.

b

Determine the time CA927 arrives in Beijing local time.

c

Determine the time CA950 arrives in San Francisco local time.

29

Luke wants to travel from Moscow to Beijing by train. In order to do that he has to board three trains. These trains are shown in the table:

TrainStationDeparture TimeStationArrival Time
1\text{Moscow} \\ \text{UTC +3} \text{8:56 pm} \\ \text{Monday}\text{Novosibrisk} \\ \text{UTC +6} \text{2:29 pm} \\ \text{Wednesday}
2\text{Novosibirsk} \\ \text{UTC +6} \text{1:25 pm} \\ \text{Thursday}\text{Ulaanbaatar} \\ \text{UTC +8} \text{9:47 pm} \\ \text{Friday}
3\text{Ulaanbaatar} \\ \text{UTC +8} \text{6:46 am} \\ \text{Saturday}\text{Beijing} \\ \text{UTC +8} \text{2:27 pm} \\ \text{Sunday}
a

How long does the first train take?

b

How long does the second train take?

c

How long does the third train take?

30

The time zone in Christchurch is \text{GMT} +12.

a

Calculate the time in Christchurch when it is 9:00 pm GMT.

b

During daylight saving, the time is pushed forward by 1 hour. Calculate the time in Christchurch during daylight saving when it is 9:00 pm GMT.

c

Calculate the time in Christchurch during daylight saving when it is 5:00 pm GMT.

31

Consider the cities Hong Kong \left( \text{GMT}+8 \right) and Paris \left( \text{GMT}+1 \right).

a

Calculate the time difference between the two locations if Hong Kong starts operating on daylight saving time (such that clocks are moved forward an hour) and Paris remains on standard time.

b

State the time in Hong Kong when it is 8:00 am in Paris and if Hong Kong starts operating on daylight saving time and Paris remains on standard time.

c

State the time in Hong Kong when it is 8:00 am in Paris and if Paris starts operating on daylight saving time and Hong Kong remains on standard time.

32

The two Diomede islands are only 4 \text{ km} apart, but travelling this distance from one to the other means crossing the International Date Line:

a

At 3:00 pm on Wednesday, Hannah rows from Big Diomede to Little Diomede in 5 minutes.

State the day it will be on Little Diomede when Hannah arrives.

b

Hannah spends about an hour on Little Diomede before rowing back, with the return journey taking about the same amount of time as before.

State the day it will it be on Big Diomede when she returns.

Time zones in Australia
33

Australia and its neighbouring countries are located across several time zones as shown in the map below:

If it is 5:42 am in Papua New Guinea, determine the time in:

a

IETZ.

b

Vietnam.

c

AEST.

d

AWST.

34

Australia is divided into 3 time zones:

  • AEST (Eastern Standard Time) encompasses QLD, NSW, the ACT, VIC and TAS.

  • ACST (Central Standard Time) encompasses the NT and SA, and is half an hour behind AEST.

  • AWST (Western Standard Time) encompasses WA and is two hours behind AEST.

a

If it is 8:16 pm AEST, determine the following:

i

The time in ACST.

ii

The time in AWST.

b

If it is 7:27 pm in ACST, determine the time in AWST.

c

If it is 12:10 am AEST, determine the following, giving your answers in 24-hour time:

i

The time in ACST.

ii

The time in AWST.

d

If it is 1:16 pm in ACST, determine the time in AWST.

35

Consider the map below:

a

Determine the time in Perth when it is 6:42 pm in Hobart.

b

Complete the table to show the equivalent time in each state:

Western Australia (WA)South Australia (SA)Queensland (QLD)
6:15
11:45
10:15
5:25
c

Complete the following table to show the equivalent time in each time zone:

WSTCSTEST
5:25
5:11
12:25
7:17
36

State whether these Australian states or territories observe Daylight Saving Time (DST):

a

Victoria

b

Western Australia

c

New South Wales

d

Northern Territory

e

Queensland

f

South Australia

37

Convert the following Daylight Savings Time in Sydney to Eastern Standard Time:

a

16:14 AEDT

b

8:00 am AEDT

c

2:49 am AEDT

d

11:50 pm AEDT

38

Convert the following Eastern Standard Time in Sydney to Daylight Savings Time:

a

14:35 AEST

b

4:00 am AEST

c

9:45 am AEST

d

5:13 pm AEST

39

If it is 4:00 pm Daylight Savings Time (DST) in South Australia (SA), determine the time in:

a

New South Wales (NSW).

b

Western Australia (WA).

c

Queensland.

d

Northern Territory (NT).

40

When the time is 14:15 in Perth determine the time in:

a

Sydney during No DST.

b

Sydney during DST.

41

The following map shows the time zones across the Australian States:

a

A flight leaves Hooker Creek Airport, NT at 6:10 am. It takes 2 hours and 15 minutes to reach Sydney airport, NSW. Determine the time the flight arrives in NSW local time.

b

A flight leaves Sydney Airport in NSW at 10:55. It takes 5 hours and 25 mins to reach Perth airport, WA. Determine the time the flight arrives in WA local time.

c

An airplane leaves Perth Airport in Western Australia at 9:16 pm and takes 4 hours and 22 mins to reach Brisbane airport, Queensland. Determine the time the airplane arrives in Brisbane local time.

d

An airplane leaves Brisbane Airport in Queensland at 3:24 am and takes 6 hours and 34 mins to arrive at Darwin Airport in Northern Territory. Determine the time the airplane arrives in Darwin local time.

e

If an airplane leaves Darwin Airport in Northern Territory at 10:48 pm and takes 6 hours and 28 mins to arrive at Perth Airport in Western Australia. Determine the time the airplane arrives in Perth local time.

42

The attached map shows the time zones across the Australian States:

a

A flight leaves Hobart Airport, TAS at 10:55 during DST. It takes 4 hours and 30 minutes to reach Perth airport, WA. Determine the time the flight arrives in WA local time.

b

A flight leaves Alice Springs Airport, NT at 5:15 during DST. It takes 3 hours and 10 minutes to reach Hobart airport, TAS. Determine the time the flight arrives in TAS local time.

c

If an airplane leaves Broome Airport in Western Australia at 7:30 pm and arrives at Albury (operating on daylight savings time) Airport in Victoria at 3:52 am, determine its flight time.

d

If an airplane leaves Albury Airport in Victoria at 7:14 pm and arrives at Adelaide Airport in South Australia (operating on daylight savings time) at 9:10 pm, determine its flight time.

e

If an airplane leaves Adelaide Airport in South Australia at 9:53 am and arrives at Broome Airport in Western Australia(operating in daylight savings time) at 3:41 pm, determine its flight time.

43

Luke and Maria board a train at 7:58 pm on Saturday from Sydney, New South Wales towards Adelaide, South Australia.

a

If the trip to Adelaide took 20 hours and 22 mins, determine the time they arrived in Adelaide local time.

b

Luke boards a train from Adelaide, South Australia at 5:45 pm on Sunday to Darwin, Northern Territory. If his trip took 28 hours and 36 mins, determine the time he arrived in Darwin local time.

c

Maria boards a train from Adelaide, South Australia at 4:55 pm Sunday towards Perth, Western Australia. If the trip took her 19 hours and 20 mins, determine the time she arrived in Perth local time.

44

Han and Amelia board a train at 8:52 pm on Thursday from Sydney, New South Wales towards Adelaide, South Australia.

a

They arrived in Adelaide, South Australia on 6:48 pm Friday. Determine the duration of their train trip.

b

Han boards a train from Adelaide, South Australia at 8:43 pm on Friday to Darwin, Northern Territory. He arrives at 8:11 pm Saturday. Determine the duration of his trip.

c

Amelia boards a train from Adelaide, South Australia at 7:53 pm Friday towards Perth, Western Australia. She arrives at 10:54 am. Determine the duration of her train trip.

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