Time Difference and Longitudes 3

Years

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 4

Find the local time in Rome given the following:

Rome

$(42°N,12°E)$

Buenos Aires

$(35°S,58°W) 10$ am Tuesday

1. $02:40$ pm Tuesday
2. $08:40$ pm Tuesday
3. $02:30$ am Wednesday
4. $08:10$ am Wednesday

Question 2 of 4

Find the local time in Lisbon given the following:

Lisbon

$(39°N,9°W)$

Los Angeles

$(34°N,118°W) 2$ pm Wednesday

1. $09:16$ pm Wednesday
2. $02:35$ am Thursday
3. $02:35$ pm Tuesday
4. $08:05$ pm Wednesday

Question 3 of 4

Find the local time in Barcelona given the following:

Barcelona

$(41°N,2°E)$

Singapore

$(1°N,104°E) 5:30$ am Tuesday

1. $02:30$ am Monday
2. $05:42$ pm Tuesday
3. $10:42$ pm Monday
4. $07:53$ pm Tuesday

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

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 both longitudes are to the east, the Prime Meridian should be drawn 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

$104°-2°$

$=$

$102°$

Next, solve for the minute difference by multiplying

$4$

$102°$

$xx4$

$=$

$408$ minutes

Since Barcelona is to the west of Singapore, subtract

$408$ minutes to

$5:30$ am

	$5:30$ am $-408$ minutes
$=$	$5:30$ am $-6$ hours $48$ minutes	Divide minutes by $60$ to convert to hours
$=$	$05°30°-06°48°$	press the DMS button on the calculator for every $°$
$=$	$-1°18’$

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

Simply add

$24$ hours to convert it to military time

		$-1°18’+24°$
	$=$	$22°42’$
	$=$	$2242$ 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

		$22:42-12$ hours
	$=$	$10:42$ pm

The time in Barcelona is $10:42$ pm Monday

$10:42$ pm Monday

Question 4 of 4

Find the local time in Seattle given the following:

Seattle

$122°W$

Dubai

$55°E, 4$ pm Monday

1. $02:32$ pm Tuesday
2. $04:12$ am Monday
3. $04:12$ am Sunday
4. $02:32$ pm Monday

	$2$ pm $+436$ minutes
$=$	$2$ pm $+7$ hours $16$ minutes	Divide minutes by $60$ to convert to hours
$=$	$14°00°+07°16°$	Convert $2$ pm to military time by adding $12$
$=$	$21°16’$
$=$	$2116$ hours

	$4$ pm $-708$ minutes
$=$	$4$ pm $-11$ hours $48$ minutes	Divide minutes by $60$ to convert to hours
$=$	$16°00°-11°48°$	Convert $4$ pm to military time by adding $12$ hours
$=$	$4°12’$
$=$	$4:12$ am

Time Difference and Longitudes 3

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Great Work!

Finding the Time Difference

2. Question

Hint

Keep Going!

Finding the Time Difference

3. Question

Hint

Excellent!

Finding the Time Difference

4. Question

Hint

Well Done!

Finding the Time Difference

Quizzes

	$10$ am $+280$ minutes
$=$	$10$ am $+4$ hours $40$ minutes	Divide minutes by $60$ to convert to hours
$=$	$10°00°+04°40°$	press the DMS button on the calculator for every $°$
$=$	$14°40’$

		$1440$ hours $-12$ hours
	$=$	$02:40$ pm

		$21:16-12$ hours
	$=$	$09:16$ pm