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8.03 International time zones and time differences

Worksheet
Longitude lines and time
1

The Earth turns 360 \degree in 24 hours.

a

How many degrees does it turn in 1 hour?

b

For every 75 \degree of longitude, calculate the time difference in hours.

c

For every 1 \degree of longitude, calculate the time difference in minutes.

2

Greenwich Mean Time (GMT) is on the 0 \degree meridian. Find the difference in time between the sunrise in Greenwich and the sunrise in a city at a longitude of:

a

30 \degree \text{W}.

b

105 \degree \text{E}.

c

97.5 \degree \text{W}.

d

44 \degree \text{E}.

3

If location A has longitude 50 \degree west of location B, determine whether the time at location A is behind or ahead the time at location B.

4

The time in Denver is \text{GMT }-7.

a

State the longitude of Denver.

b

Is Denver East or West of Greenwich?

5

Calculate the time difference to the nearest hour between the following:

a

Locations with coordinates of \left( 45 \degree \text{S}, 3 \degree \text{E} \right) and \left( 33 \degree \text{N}, 48 \degree \text{E} \right).

b

Locations with coordinates of \left( 20 \degree \text{S}, 3 \degree \text{E} \right) and \left( 9 \degree \text{S}, 117 \degree \text{W} \right).

c

Hong Kong \left( 22 \degree \text{N}, 114 \degree \text{E} \right) and Beirut \left( 34 \degree \text{N}, 36 \degree \text{E} \right).

d

Los Angeles \left( 34 \degree \text{N}, 118 \degree \text{W} \right) and Beijing \left( 40 \degree \text{N}, 116 \degree \text{E} \right).

Time zones
6

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.

7

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?

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

The table shows the time of several locations relative to UTC:

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

Using the table, which location is ahead in time of the other: South Sandwich Islands or Brazil (west)?

b

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

c

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

d

Calculate the time difference between Kenya and Mauritius.

e

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

f

Using the table, which location is ahead in time of the other: Uruguay or Algeria?

g

Calculate the time difference between Uruguay and Algeria.

h

If it is 21:25 on the 13th day of the month in Uruguay, determine the time and day in Algeria.

10

Calculate the time difference between the following:

a

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

b

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

11

Find the time in Bangkok \left( \text{UTC}+7\right) when it is 11 am in Athens \left( \text{UTC} +2 \right).

12

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

13

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

a

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

b

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

14

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
15

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

A

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

B

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

C

Perth \left( \text{UTC}+8 \right)

16

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

A

Cairo \left( \text{UTC}+2 \right)

B

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

C

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

17

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

A

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

B

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

C

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

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Outcomes

ACMEM162

understand the link between longitude and time

ACMEM164

solve problems involving Greenwich Mean Time and the International Date Line

ACMEM165

find time differences between two places on Earth

ACMEM166

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

ACMEM167

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

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