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Time and Travelling Word Problems 1Time and Travelling Word Problems 1
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Question 1 of 5
1. Question
A plane departs from Hanoi, Vietnam and is on its way to arrive in Sydney. Find its time of arrival given the following:Sydney `(34°S,151°E)`Hanoi `(21°N,106°E)`Departure: `8:30`pm TuesdayFlight Time: `9` hours `20` minutesHint
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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 Sydney when the time in Hanoi is `8:30`pmStart 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``151°-106°` `=` `45°` Next, multiply by `4` to solve for the time differenceSince `1°=4` minutes`45°``xx4` `=` `180` minutes Since Sydney is to the east of Hanoi, add `180` minutes to `8:30`pm`8:30`pm `+180` minutes `=` `8:30`pm `+3` hours Divide minutes by `60` to convert to hours `=` `11:30`pm 
When it is `8:30`pm in Hanoi, at the same moment, it is `11:30`pm in SydneyFinally, add the flight time to `11:30`pm to get the time of arrival in SydneyFlight time: `9`hours `20` minutes `11:30`pm `+9` hours `20` minutes `=` `23:30+9` hours `20` minutes Convert to military time by adding `12` `=` `32:50` Since it is greater than `24`, it means a day has passed and the time of arrival is on WednesdaySubtract `24` hours to get a normal time format`32:50-24` hours `=` `8:50`am The time of arrival in Sydney is `8:50`am Wednesday`8:50`am, Wednesday -
Question 2 of 5
2. Question
A plane departs from San Francisco and is on its way to arrive in Dallas. Find its time of arrival given the following:Dallas `(32°N,96°W)`San Francisco `(37°N,122°W)`Departure: `10`amFlight Time: `3` hours `30` minutesHint
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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 Dallas when the time in San Francisco is `10`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``122°-96°` `=` `26°` Next, multiply by `4` to solve for the time differenceSince `1°=4` minutes`26°``xx4` `=` `104` minutes Since Dallas is to the east of San Francisco, add `104` minutes to `10`am`10`am `+104` minutes `=` `10`am `+1` hour `44` minutes Divide minutes by `60` to convert to hours `=` `11:44`am When it is `10`am in San Francisco, at the same moment, it is `11:44`am in DallasFinally, add the flight time to `11:44`am to get the time of arrival in DallasFlight time: `3`hours `30` minutes `11:44`am `+3` hours `30` minutes `=` `11°44°+03°30°` Press the DMS button for every `°` `=` `15°14’` `=` `15:14` The time is in pm or in the afternoon since it is greater than `12`.Subtract `12` hours to get a proper time format`15:14-12` hours `=` `03:14`pm The plane arrived in Dallas at `03:14`pm`03:14`pm -
Question 3 of 5
3. Question
A plane departs from Melbourne and is on its way to arrive in Honolulu. Find its time of arrival given the following:Honolulu `(158°W)`Melbourne `(145°E)`Departure: `5:30`pm SaturdayFlight Time: `10` hours `30` minutesHint
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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 Honolulu when the time in Melbourne is `5:30`pmStart 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 represents a plus sign, which means we must get the sum of the two longitudesWe find the sum because both cities are on either side of `UTC``158°+145°` `=` `303°` Next, multiply by `4` to solve for the time differenceSince `1°=4` minutes`303°``xx4` `=` `1212` minutes Since Honolulu is to the west of Melbourne, subtract `1212` minutes from `5:30`pm`5:30`pm `-1212` minutes `=` `17:30-20` hours `12` minutes Divide minutes by `60` to convert to hours `=` `17°30°-20°12°` Press the DMS button for every `°` `=` `-2°42’` Since the answer is negative, it means the time we are looking for occurs the day before which is FridaySimply add `24` hours to convert it to military time`-2°42’+24°` `=` `21°18’` `=` `09:18`pm When it is `5:30`pm Saturday in Melbourne, at the same moment, it is `9:18`pm Friday in HonoluluFinally, add the flight time to `9:18`pm to get the time of arrival in HonoluluFlight time: `10`hours `30` minutes `09:18`pm `+10` hours `30` minutes `=` `21°18°+10°30°` Press the DMS button for every `°` `=` `31°48’` Since it is greater than `24`, it means a day has passed and the time of arrival is on SaturdaySubtract `24` hours to get a normal time format`31°48′-24°` `=` `7:48`am The time of arrival in Honolulu is `7:48`am Saturday`7:48`am Saturday -
Question 4 of 5
4. Question
A rally car departs from Perth and is on its way to Sydney. Find its time of arrival given the following:Sydney `(151°E)`Perth `(116°E)`Departure: `9`am SaturdayTravel Time: `85` 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 Sydney when the time in Perth is `9`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``151°-116°` `=` `35°` Next, multiply by `4` to solve for the time differenceSince `1°=4` minutes`35°``xx4` `=` `140` minutes Since Sydney is to the east of Perth, add `140` minutes to `9`am`9`am `+140` minutes `=` `9`am `+2` hours `20` minutes Divide minutes by `60` to convert to hours `=` `11:20`am When it is `9`am in Perth, at the same moment, it is `11:20`am in SydneyFinally, add the time to `11:20`am to get the time of arrival in SydneyFlight time: `85`hours `11:20`am `+85` hours `11:20`am `+3` days `13` hours `1` day is `24` hours `11:20`am `+13` hours, Tuesday `=` `11°20°+13°`, Tuesday Press the DMS button for every `°` `=` `24°20′,` Tuesday Since it is greater than `24`, it means another day has passed and the time of arrival is on WednesdaySubtract `24` hours to get a normal time format`24°20′-24°` `=` `0:20` `=` `12:20`am The time of arrival in Sydney is `12:20`am Wednesday`12:20`am Wednesday -
Question 5 of 5
5. Question
A plane departed from Beijing and has arrived in London. Find the flight time of the plane given the following:Beijing `(116°E)` Departure: `6`pmLondon `(0°E)` Arrival: `9:16`pm- (11) hours
Hint
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Incorrect
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 London when the time in Beijing is `6`pmStart by drawing a rectangle with the Prime Meridian and the two longitudes
London is at the Prime MeridianSince London is to the west of Beijing, subtract their longitudes`116°-0°` `=` `116°` Next, multiply by `4` to solve for the time differenceSince `1°=4` minutes`116°``xx4` `=` `464` minutes Remember west = lest, subtract `464` minutes from `6`pm`6`pm `-464` minutes `=` `6`pm `-7` hours `44` minutes Divide minutes by `60` to convert to hours `=` `18°00°-07°44°` Press the DMS button for every `°` `=` `10°16’` `=` `10:16`am When it is `6`pm in Beijing, at the same moment, it is `10:16`am in LondonFinally, find the flight time by getting the difference between `10:16`am and the arrival time in LondonArrival time: `9:16`pm `09:16`pm `-10:16`am `=` `21°16°-10°16°` Press the DMS button for every `°` `=` `11°00’` `=` `11` hours The flight time is `11` hours`11` hours
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