Time and Travelling Word Problems 2

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Question 1 of 5

A plane departed from Perth and has arrived in Wellington. Find its time of departure given the following:

Perth

$(32°S,116°E)$

Wellington

$(41°S,175°E)$ Arrival:

$7:30$ am Wednesday

Flight Time:

$8$ hours

1. $10:34$ pm Wednesday
2. $07:34$ am Thursday
3. $10:34$ am Wednesday
4. $07:34$ pm Tuesday

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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, find the local time in Perth when the time in Wellington is

$7:30$ am

Start by drawing a rectangle with the Prime Meridian and the two longitudes

The Prime Meridian 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

We find the difference because both cities are on one side of

$UTC$

$175°-116°$

$=$

$59°$

Next, multiply by

$4$ to solve for the time difference

Since

$1°=4$ minutes

$59°$

$xx4$

$=$

$236$ minutes

Since Perth is to the west of Wellington, subtract

$236$ minutes from

$7:30$ am

	$7:30$ am $-236$ minutes
$=$	$7:30-3$ hours $56$ minutes	Divide minutes by $60$ to convert to hours
$=$	$07°30°-03°56°$	Press the DMS button for every $°$
$=$	$3°34’$
$=$	$3:34$ am

When it is

$7:30$ am Wednesday in Wellington, at the same moment, it is

$3:34$ am Wednesday in Perth

Finally, solve for the departure time by subtracting the flight time from

$3:34$ am

Flight time:

$8$ hours

	$03:34$ am $-8$ hours
$=$	$03°34°-08°$	Press the DMS button for every $°$
$=$	$-4°26’$

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

Simply add

$24$ hours to convert it to military time

		$-4°26’+24°$
	$=$	$19°34’$
	$=$	$07:34$ pm

Therefore, the departure time of the plane is $07:34$ pm Tuesday

$07:34$ pm Tuesday

Question 2 of 5

2. Question
A plane departs from Sydney and is on its way to land in Dubai. Find its time of arrival given the following:

Dubai $(+4)$

Sydney $(+10)$

Departure: $7$ am

Flight Time: $14$ hours $25$ minutes
- 1. $3:25$ pm
- 2. $2:25$ pm
- 3. $2:20$ am
- 4. $5:00$ am
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Standard time zones divide the Earth in $15°$ regions which means each zone has a $1$ -hour difference

The Prime Meridian’s time zone is $0$

Finding the Time Difference

$-1$ time zone $=1$ hour of time difference to the west (West = lest)

$+1$ time zone $=1$ hour of time difference to the east (East = beast)

First, find the local time in Dubai when the time in Sydney is $7$ am

Start by drawing a rectangle with the Prime Meridian and the two time zones

The Prime Meridian is also called Coordinated Universal Time (UTC)

Find the time difference between the two locations

$10-4$ $=$ $6$ hours

Since Dubai is to the west of Sydney, subtract $6$ hours from $7$ am

$7$ am $-$ $6$ hours $=$ $1$ am

When it is $7$ am in Sydney, at the same moment, it is $1$ am in Dubai

Finally, add the flight time to $1$ am to get the time of arrival in Dubai

Flight time: $14$ hours $25$ minutes

$1$ am $+14$ hours $25$ minutes

$=$ $15:25$

Since it is greater than $12$ , it means the time will be in pm

Subtract $12$ hours to get a normal time format

$15:25-12$ hours

$=$ $3:25$ pm

The time of arrival in Dubai is $3:25$ pm

$3:25$ pm
Question 3 of 5

3. Question
A plane departs from Singapore and is on its way to land in Athens. Find its time of arrival given the following:

Athens $(+2)$

Singapore $(+8)$

Departure: $9:30$ am Sunday

Flight Time: $11$ hours
- 1. $2:30$ pm Sunday
- 2. $4:00$ am Sunday
- 3. $3:30$ am Sunday
- 4. $5:00$ pm Saturday
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Standard time zones divide the Earth in $15°$ regions which means each zone has a $1$ -hour difference

The Prime Meridian’s time zone is $0$

Finding the Time Difference

$-1$ time zone $=1$ hour of time difference to the west (West = lest)

$+1$ time zone $=1$ hour of time difference to the east (East = beast)

First, find the local time in Athens when the time in Singapore is $9:30$ am

Start by drawing a rectangle with the Prime Meridian and the two time zones

The Prime Meridian is also called Coordinated Universal Time (UTC)

Find the time difference between the two locations

$8-2$ $=$ $6$ hours

Since Athens is to the west of Singapore, subtract $6$ hours from $9:30$ am

$9:30$ am $-$ $6$ hours $=$ $3:30$ am

When it is $9:30$ am in Singapore, at the same moment, it is $3:30$ am in Athens

Finally, add the flight time to $3:30$ am to get the time of arrival in Athens

Flight time: $11$ hours

$3:30$ am $+11$ hours

$=$ $14:30$

Since it is greater than $12$ , it means the time will be in pm

Subtract $12$ hours to get a normal time format

$14:30-12$ hours

$=$ $2:30$ pm

The time of arrival in Athens is $2:30$ pm Sunday

$2:30$ pm Sunday
Question 4 of 5

4. Question
A plane departs from Los Angeles, crosses the International Date Line and is on its way to land in Tokyo. Find its time of arrival given the following:

Tokyo $(+9)$

Los Angeles $(-8)$

Departure: $7$ pm Thursday

Flight Time: $11$ hours $35$ minutes
- 1. $11:35$ am Wednesday
- 2. $11:35$ pm Friday
- 3. $08:35$ am Thursday
- 4. $12:00$ pm Friday
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Standard time zones divide the Earth in $15°$ regions which means each zone has a $1$ -hour difference

The International Date Line is the longitude opposite of the prime meridian

Finding the Time Difference (Passing IDL)

Increase IDL Less

$+1$ time zone $=1$ hour of time difference to the west (Increase)

$-1$ time zone $=1$ hour of time difference to the east (Less)

First, find the local time in Tokyo when the time in Los Angeles is $7$ pm

Start by drawing a rectangle with the IDL and the two time zones

Draw a line that connects the two time zones

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

We find the sum because both cities are on either side of the $IDL$

Make sure to add them as both positive numbers

$9+8$ $=$ $17$ hours

Since Tokyo is to the west of Los Angeles and we are passing through the $IDL$ we add $17$ hours to $7$ pm

$7$ pm $+$ $17$ hours

$=$ $19:00+17$ hours

$=$ $19°+17°$ Press the DMS button for every $°$

$=$ $36°$

Since it is greater than $24$ , it means another day has passed and the time of arrival is on Friday

Subtract $24$ hours to get a normal time format

$36°-24°$

$=$ $12°$

$=$ $12$ pm

When it is $7$ pm Thursday in Los Angeles, at the same moment, it is $12$ pm Friday in Tokyo

Finally, add the flight time to $12$ pm to get the time of arrival in Tokyo

Flight time: $11$ hours $35$ minutes

$12$ pm $+11$ hours $35$ minutes

$=$ $12°+11°35°$ Press the DMS button for every $°$

$=$ $23°35’$

$=$ $11:35$ pm

The time of arrival in Tokyo is $11:35$ pm Friday

$11:35$ pm Friday
Question 5 of 5

5. Question
A plane departs from Seoul, crosses the International Date Line and is on its way to land in Honolulu. Find its time of arrival given the following:

Honolulu $(-10)$

Seoul $(+9)$

Departure: $7:35$ pm Saturday

Flight Time: $7$ hours $40$ minutes
- 1. $8:15$ am Saturday
- 2. $8:15$ pm Friday
- 3. $12:35$ pm Sunday
- 4. $12:35$ am Saturday
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Standard time zones divide the Earth in $15°$ regions which means each zone has a $1$ -hour difference

The International Date Line is the longitude opposite of the prime meridian

Finding the Time Difference (Passing IDL)

Increase IDL Less

$+1$ time zone $=1$ hour of time difference to the west (Increase)

$-1$ time zone $=1$ hour of time difference to the east (Less)

First, find the local time in Honolulu when the time in Seoul is $7:35$ pm

Start by drawing a rectangle with the IDL and the two time zones

Draw a line that connects the two time zones

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

We find the sum because both cities are on either side of the $IDL$

Make sure to add them as both positive numbers

$10+9$ $=$ $19$ hours

Since Honolulu is to the east of Seoul and we are passing through the $IDL$ we subtract $19$ hours from $7:35$ pm

$7:35$ pm $-$ $19$ hours

$=$ $19:35-19$ hours

$=$ $19°35°-19°$ Press the DMS button for every $°$

$=$ $00°35’$

$=$ $12:35$ am

When it is $7:35$ pm Saturday in Seoul, at the same moment, it is $12:35$ am Saturday in Honolulu

Finally, add the flight time to $12:35$ am to get the time of arrival in Honolulu

Flight time: $7$ hours $40$ minutes

$12:35$ am $+7$ hours $40$ minutes

$00:35+7$ hours $40$ minutes

$=$ $00°35°+7°40°$ Press the DMS button for every $°$

$=$ $8°15’$

$=$ $8:15$ am

The time of arrival in Honolulu is $8:15$ am Saturday

$8:15$ am Saturday

Time and Travelling Word Problems 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

Nice Job!

Finding the Time Difference

4. Question

Hint

Fantastic!

Finding the Time Difference (Passing IDL)

5. Question

Hint

Correct!

Finding the Time Difference (Passing IDL)

Quizzes

	$7$ pm $+$ $17$ hours
$=$	$19:00+17$ hours
$=$	$19°+17°$	Press the DMS button for every $°$
$=$	$36°$

	$12$ pm $+11$ hours $35$ minutes
$=$	$12°+11°35°$	Press the DMS button for every $°$
$=$	$23°35’$
$=$	$11:35$ pm

	$7:35$ pm $-$ $19$ hours
$=$	$19:35-19$ hours
$=$	$19°35°-19°$	Press the DMS button for every $°$
$=$	$00°35’$
$=$	$12:35$ am

	$12:35$ am $+7$ hours $40$ minutes
	$00:35+7$ hours $40$ minutes
$=$	$00°35°+7°40°$	Press the DMS button for every $°$
$=$	$8°15’$
$=$	$8:15$ am

		$1$ am $+14$ hours $25$ minutes
	$=$	$15:25$

		$15:25-12$ hours
	$=$	$3:25$ pm

		$14:30-12$ hours
	$=$	$2:30$ pm