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Time and Travelling Word Problems 2Time and Travelling Word Problems 2
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Question 1 of 5
1. Question
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 WednesdayFlight Time: `8` hoursHint
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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`amStart 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 longitudesWe find the difference because both cities are on one side of `UTC``175°-116°` `=` `59°` Next, multiply by `4` to solve for the time differenceSince `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 PerthFinally, solve for the departure time by subtracting the flight time from `3:34`amFlight 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 TuesdaySimply 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`amFlight Time: `14` hours `25` minutesHint
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Standard time zones divide the Earth in `15°` regions which means each zone has a `1`-hour differenceThe 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`amStart 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 DubaiFinally, add the flight time to `1`am to get the time of arrival in DubaiFlight 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 pmSubtract `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 SundayFlight Time: `11` hoursHint
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Standard time zones divide the Earth in `15°` regions which means each zone has a `1`-hour differenceThe 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`amStart 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 AthensFinally, add the flight time to `3:30`am to get the time of arrival in AthensFlight time: `11` hours `3:30`am `+11` hours `=` `14:30` Since it is greater than `12`, it means the time will be in pmSubtract `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 ThursdayFlight Time: `11` hours `35` minutesHint
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Standard time zones divide the Earth in `15°` regions which means each zone has a `1`-hour differenceThe International Date Line is the longitude opposite of the prime meridianFinding 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`pmStart 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 zonesWe 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 FridaySubtract `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 TokyoFinally, add the flight time to `12`pm to get the time of arrival in TokyoFlight 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 SaturdayFlight Time: `7` hours `40` minutesHint
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Standard time zones divide the Earth in `15°` regions which means each zone has a `1`-hour differenceThe International Date Line is the longitude opposite of the prime meridianFinding 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`pmStart 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 zonesWe 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 HonoluluFinally, add the flight time to `12:35`am to get the time of arrival in HonoluluFlight 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
Quizzes
- Convert Units of Time 1
- Convert Units of Time 2
- Convert Units of Time 3
- Add Units of Time
- Subtract Units of Time
- Convert 12 Hour Time to 24 Hour Time 1
- Convert 12 Hour Time to 24 Hour Time 2
- Convert 12 Hour Time to 24 Hour Time 3
- Convert 24 Hour Time to 12 Hour Time 1
- Convert 24 Hour Time to 12 Hour Time 2
- Add and Subtract Time Using the Calculator
- Time Difference and Longitudes 1
- Time Difference and Longitudes 2
- Time Difference and Longitudes 3
- International Time Zones 1
- International Time Zones 2
- Time and Travelling Word Problems 1
- Time and Travelling Word Problems 2
- Great Circle Distances