Time Difference and Longitudes 2

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Question 1 of 5

1. Question
Find the time difference between Tokyo and Sydney given the following:

Tokyo $(35°N,139°E)$

Sydney $(34°S,151°E)$
- (48) minutes
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The prime meridian is a line of longitude at $0°$

On the opposite side of the prime meridian lies the $180°$ meridian.

Finding the Time Difference

$1°$ of longitude to the west $=$ subtract 4 minutes (West = lest)

$1°$ of longitude to the east $=$ add 4 minutes (East = beast)

First, draw a rectangle with the Prime Meridian and the two longitudes

Since both longitudes are to the east, draw the line for the Prime Meridian first

The prime meridian is also called Greenwich Mean Time (GMT) or Coordinated Universal Time (UTC)

Draw a line that connects the two longitudes

This line represents a minus sign, which means we must get the difference between the two longitudes

$151°-139°$ $=$ $12°$

Finally, solve for the time difference by multiplying $4$

$12°$ $xx4$ $=$ $48$ minutes

Hence, the time difference between Tokyo and Sydney is $48$ minutes.

$48$ minutes
Question 2 of 5

2. Question
Find the time difference between Vienna and Adelaide given the following:

Vienna $(48°N,16°E)$

Adelaide $(35°S,139°E)$
- (8) hours (12) minutes
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The prime meridian is a line of longitude at $0°$

On the opposite side of the prime meridian lies the $180°$ meridian.

Finding the Time Difference

$1°$ of longitude to the west $=$ subtract 4 minutes (West = lest)

$1°$ of longitude to the east $=$ add 4 minutes (East = beast)

First, draw a rectangle with the Prime Meridian and the two longitudes

Since both longitudes are to the east, draw the line for the Prime Meridian first

The prime meridian is also called Greenwich Mean Time (GMT) or Coordinated Universal Time (UTC)

Draw a line that connects the two longitudes

This line represents a minus sign, which means we must get the difference between the two longitudes

$139°-16°$ $=$ $123°$

Finally, solve for the time difference by multiplying $4$

$123°$ $xx4$ $=$ $492$ minutes

$=$ $8$ hours $12$ minutes

Hence, the time difference between Vienna and Adelaide is $8$ hours $12$ minutes

$8$ hours $12$ minutes
Question 3 of 5

3. Question
Find the time difference between Paris and Detroit given the following:

Paris $(49°N,2°E)$

Detroit $(42°N,83°W)$
- (5) hours (40) minutes
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The prime meridian is a line of longitude at $0°$

On the opposite side of the prime meridian lies the $180°$ meridian.

Finding the Time Difference

$1°$ of longitude to the west $=$ subtract 4 minutes (West = lest)

$1°$ of longitude to the east $=$ add 4 minutes (East = beast)

First, draw a rectangle with the Prime Meridian and the two longitudes

Since one longitude is the west and the other is to the east, the Prime Meridian should be in the middle

The prime meridian is also called Greenwich Mean Time (GMT) or Coordinated Universal Time (UTC)

Draw a line that connects the two longitudes

This represents a plus sign, which means we must get the sum of the two longitudes

$83°+2°$ $=$ $85°$

Finally, solve for the time difference by multiplying $4$

$85°$ $xx4$ $=$ $340$ minutes

$=$ $5$ hours $40$ minutes

Hence, the time difference between Paris and Detroit is $5$ hours $40$ minutes.

$5$ hours $40$ minutes
Question 4 of 5

4. Question
Find the local time in Athens given the following:

Athens $(38°N,24°E)$

Greenwich $12$ pm
- 1. $1:18$ pm
- 2. $12:18$ pm
- 3. $12:36$ pm
- 4. $1:36$ pm
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The prime meridian is a line of longitude at $0°$

On the opposite side of the prime meridian lies the $180°$ meridian.

Finding the Time Difference

$1°$ of longitude to the west $=$ subtract 4 minutes (West = lest)

$1°$ of longitude to the east $=$ add 4 minutes (East = beast)

First, draw a rectangle with the Greenwich (Prime Meridian) and Athens’ longitude

Remember that Greenwich is at $0°$ longitude

The Greenwich is also called Coordinated Universal Time (UTC)

Draw a line that connects the two longitudes

This line represents a minus sign, which means we must get the difference between the two longitudes

$24°-0°$ $=$ $24°$

Next, solve for the minute difference by multiplying $4$

$24°$ $xx4$ $=$ $96$ minutes

Since Athens is to the east of Greenwich, add $96$ minutes to $12$ pm

$12$ pm $+96$ minutes

$=$ $12$ pm $+1$ hour $36$ minutes Divide minutes by $60$ to convert to hours

$=$ $1:36$ pm

The time in Athens is $1:36$ pm

$1:36$ pm

Question 5 of 5

Find the local time in San Diego given the following:

San Diego

$(32°N,117°W)$

Cairo

$(30°N,31°E) 3$ am Sunday

1. $06:00$ pm Saturday
2. $05:08$ pm Monday
3. $06:00$ am Sunday
4. $05:08$ pm Saturday

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The prime meridian is a line of longitude at

$0°$

On the opposite side of the prime meridian lies the $180°$ meridian.

Finding the Time Difference

$1°$ of longitude to the west

$=$ subtract 4 minutes (West = lest)

$1°$ of longitude to the east

$=$ add 4 minutes (East = beast)

First, draw a rectangle with the Prime Meridian and two longitudes

Since one longitude is the west and the other is to the east, the Prime Meridian should be in the middle

The prime meridian is also called Greenwich Mean Time (GMT) or Coordinated Universal Time (UTC)

Draw a line that connects the two longitudes

This represents a plus sign, which means we must get the sum of the two longitudes

$117°+31°$

$=$

$148°$

Next, solve for the minute difference by multiplying

$4$

$148°$

$xx4$

$=$

$592$ minutes

Since San Diego is to the west of Cairo, subtract

$592$ minutes to

$3$ am

	$3$ am $-592$ minutes
$=$	$3$ am $-9$ hours $52$ minutes	Divide minutes by $60$ to convert to hours
$=$	$03°00°-09°52°$	press the DMS button on the calculator for every $°$
$=$	$-6°52’$

Since the answer is negative, it means the time we are looking for occurs the day before which is Saturday

Simply add

$24$ hours to convert it to military time

		$-6°52’+24°$
	$=$	$17°08’$
	$=$	$1708$ hours

The time is in pm or in the afternoon since it is greater than

$12$ .

Subtract

$12$ hours to get a proper time format

		$1708$ hours $-12$ hours
	$=$	$05:08$ pm

The time in San Diego is $05:08$ pm Saturday

$05:08$ pm Saturday

Time Difference and Longitudes 2

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Quiz summary

Information

1. Question

Hint

Nice Job!

Finding the Time Difference

2. Question

Hint

Well Done!

Finding the Time Difference

3. Question

Hint

Correct!

Finding the Time Difference

4. Question

Hint

Fantastic!

Finding the Time Difference

5. Question

Hint

Nice Job!

Finding the Time Difference

Quizzes

	$12$ pm $+96$ minutes
$=$	$12$ pm $+1$ hour $36$ minutes	Divide minutes by $60$ to convert to hours
$=$	$1:36$ pm