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8.035 Applications of international time zones

Worksheet
Applications of international time zones
1

Maria is away at a conference. Her location is (24 \degree \text{ S}, \, 77 \degree \text{ E}), while her hometown is \left( 27 \degree \text{ S} , 122 \degree \text{ E} \right).

a

Calculate the difference in longitude between the two places.

b

Calculate the time difference between the two places.

c

Find the local time at home when the conference finishes at 5 pm.

2

A flight is due to depart airport A (14 \degree \text{ N}, \, 57 \degree \text{ W}) at 15:50. It is headed for airport B ( 20 \degree \text{ S} , 132 \degree \text{ W}) .

a

Calculate the time difference between the two airports.

b

If the flight takes 7 hours, find the local time it will land at airport B.

3

Two satellites are to be launched simultaneously, one at location A (3 \degree \text{ N}, \, 54 \degree \text{ W}) and the other at location B (35 \degree \text{ S}, \, 111 \degree \text{ E}).

a

Calculate the time difference between the two locations.

b

If launch time at location B is 17:40, find the launch time at location A.

4

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 scheduled for 4 pm on Sunday, Memphis \left( \text{UTC}-6 \right) time.

Find the time and day the interview will be at in Melbourne.

5

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.

6

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

7

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.

8

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?

b

Which of the scientists will have the latest local time?

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

9

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.

10

Valerie in Hobart has a phone conversation with Oprah in Manilla. Manilla 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.

11

Isabelle in Brisbane is expecting a phone call from Gwen in Manilla. Manilla is 2 hours behind Brisbane time.

a

If Isabelle calls at 12:30 am, determine the time it is for Gwen.

b

If Gwen calls at 11:45 pm, determine the time it is for Isabelle.

12

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.

13

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

a

Determine the time in Brazilia when it is 10 am in El Paso.

b

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

c

Determine the day the plane will arrive in Brazilia.

14

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.

15

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.

16

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?

17

The following table displays the Air China flight schedule of outbound flights:

Flight NumberAirport CodeDeparture TimeAirport CodeArrival Time
\text{CA}921\text{Shanghai Pudong} \\ \text{UTC +8} \text{ (PVG)} \text{5:47 am}\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} \text{4:39 pm}
\text{CA}934\text{Shanghai Pudong} \\ \text{UTC +8} \text{ (PVG)} \text{5:55 pm}\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} \text{4:21 pm}
\text{CA}945\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} \text{5:10 am}\text{New York} \\ \text{UTC -5} \text{ (SFO)} \text{6:50 am} \\ \text{ (Same Day)}
\text{CA}956\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} \text{7:29 am}\text{San Francisco} \\ \text{UTC -7} \text{ (SFO)} \text{7:40 am} \\ \text{ (Same Day)}
\text{CA}981\text{New York} \\ \text{UTC -5} \text{ (SFO)} \text{5:12 pm}\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} \text{6:52 pm} \\ \text{(Next Day)}
\text{CA}996\text{San Francisco} \\ \text{UTC -7} \text{ (SFO)} \text{1:29 pm}\text{Beijing} \\ \text{UTC +8} \text{ (PEK)} \text{5:34 pm} \\ \text{(Next Day)}

Find the flight time for the following flights:

a

CA981

b

CA934

c

CA945

d

CA996

e

CA921

f

CA956

18

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.

19

The following table displays the Air China flight schedule of outbound flights:

Flight NumberAirport CodeDeparture TimeAirport CodeArrival Time
\text{CA}996\text{San Francisco} \\ \text{UTC} -7 \text{ (SFO)}1:29 \text{ pm}\text{Beijing} \\ \text{UTC+8} \text{ (PEK)}5:34 \text{ pm} \\ \text{(Next Day)}
\text{CA}921\text{Shanghai Pudong} \\ \text{UTC} +8 \text{ (PVG)}5:47 \text{ am}\text{Beijing} \\ \text{UTC+8} \text{ (PEK)}4:39 \text{ pm}
\text{CA}956\text{Beijing} \\ \text{UTC} +8 \text{ (PEK)}7:29 \text{ am}\text{San Francisco} \\ \text{UTC -7} \text{ (SFO)}7:40 \text{ am} \\ \text{ (Same Day)}

State the flight time for the following:

a

\text{CA}996

b

\text{CA}921

c

\text{CA}956

20

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?

21

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.

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Outcomes

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understand the link between longitude and time

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solve problems involving Greenwich Mean Time and the International Date Line

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find time differences between two places on Earth

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solve problems associated with time zones; for example, internet and phone usage

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solve problems relating to travelling east and west, incorporating time zone changes

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