- Calculate the local time difference from a difference in longitude, and longitude from a time difference
- Find the time zone of a place in Roman numerals with the 7.5° remainder rule
- Compare local, zone and official time and their differences
- Work out the time and the date across the date line
One winter evening at 8 p.m., Murad calls his cousin in New York from Baku. His cousin has not even had lunch — it is 11 a.m. there! Why do clocks show different times in different places at the very same moment? The answer lies in the Earth's rotation.
Local time
The Earth turns 360° in 24 hours. So it turns 15° every hour and 1° every 4 minutes. The Sun stands highest over each meridian at noon, and at that moment local noon begins on that meridian. Because the Earth spins from west to east, places farther east are always ahead in time.
The time set by the position of the Sun relative to a given meridian. All places on one meridian share the same local time; it changes by 4 minutes for every 1° you move east or west.
- Δtdifference in local time
- Δλdifference in longitude between two places, in degrees
1° of longitude = 4 minutes, 15° = 1 hour
Baku lies at about 50° E. When it is local noon in Greenwich (0°), what is the local time in Baku?
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Time difference: 50 × 4 min = 200 min = 3 h 20 min.
Baku is to the east, so we add: 12:00 + 3:20 = 15:20.
There is a simple rule for the difference in longitude (Δλ): if both places are in the same hemisphere (both at east or both at west longitude), subtract the longitudes; if one is east and the other west, add them. For example, between 25° E and 25° W, Δλ = 25° + 25° = 50°, so the local time difference is 50 × 4 = 200 min, i.e. 3 h 20 min. Azerbaijani exam papers (DİM) abbreviate longitudes: ş.u. means east longitude and q.u. means west longitude.
Baku lies at about 50° E.
1) The local time of town A is 2 h 48 min behind the local time of Baku.
2) The local time of place B is 4 h 20 min behind that of Baku.
Work out the longitude of A and of B.
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The time is behind → A lies west of Baku: 50° − 42° = 8° E.
2) 4 h 20 min = 260 min; 260 ÷ 4 = 65°.
50° − 65° = −15°. The result is negative, so B is west of the Greenwich meridian: 15° W.
Check: 50° + 15° = 65° (different hemispheres, so add), 65 × 4 = 260 min ✓
Time zones: from 0 to XXIII
If every town lived by its own local time, train and flight timetables would be chaos. So the Earth’s surface is divided along the meridians into 24 time zones, each 15° wide (24 × 15° = 360°). Counting starts at the Greenwich meridian: the strip on both sides of it, from 7.5° W to 7.5° E, is zone 0. The other zones are numbered eastwards in Roman numerals: I, II, III … XXIII. Zone 0 is sometimes also written as XXIV. This is exactly how Azerbaijani textbooks and the DİM entrance tests show the zones.
The local time of the central meridian that runs through the middle of a zone; the whole zone uses it. The central meridian of zone n is 15° · n (0°, 15°, 30°, 45° …). Neighbouring zones differ by exactly 1 hour.
The time a country adopts by law. It may differ from zone time: some countries set their clocks one hour ahead of zone time all year, others move them forward in summer (daylight saving time), and parts of large countries live by a neighbouring zone’s time.
- λthe longitude of the place, in degrees
- nthe whole part of the division (corrected for the remainder); the zone number at east longitude
- Nthe zone number at west longitude; 24 means zone 0
The DİM method: zone borders lie 7.5° from the central meridian, so a remainder larger than 7.5° means the place is already in the next zone.
- 1Divide
Divide the longitude by 15°: write down the whole part (n) and the remainder (r).
- 2Check the remainder
If r > 7.5°, add 1 to n; if r < 7.5°, n stays the same.
- 3Mind the hemisphere
At east longitude the answer is n (0–XII). At west longitude it is 24 − n (XII–XXIII; 24 means 0).
- 4Write it in Roman numerals
For example, 7 → VII, 22 → XXII. Time relative to Greenwich: n hours ahead in the east, 24 − N hours behind in the west.
| Zone | Central meridian | Borders | Relative to Greenwich |
|---|---|---|---|
| 0 (XXIV) | 0° | 7.5° W – 7.5° E | 0 h |
| I | 15° E | 7.5° – 22.5° E | +1 h |
| II | 30° E | 22.5° – 37.5° E | +2 h |
| III | 45° E | 37.5° – 52.5° E | +3 h |
| IV | 60° E | 52.5° – 67.5° E | +4 h |
| XII | 180° | 172.5° E – 172.5° W | ±12 h |
| XIII | 165° W | 172.5° – 157.5° W | −11 h |
| XXII | 30° W | 37.5° – 22.5° W | −2 h |
| XXIII | 15° W | 22.5° – 7.5° W | −1 h |
Find the time zones of these places: 1) 52° E; 2) 98° E; 3) 41° W; 4) 129° W.
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2) 98 ÷ 15 = 6, remainder 8° > 7.5° → 6 + 1 = 7 → zone VII.
3) 41 ÷ 15 = 2, remainder 11° > 7.5° → 3; west longitude: 24 − 3 = 21 → zone XXI (3 h behind Greenwich).
4) 129 ÷ 15 = 8, remainder 9° > 7.5° → 9; 24 − 9 = 15 → zone XV (9 h behind).
On a diagram, place A is at 50° W, place B at 25° E and place C at 110° E. Find the time zones of A, B and C and the zone-time difference between A and C.
A) XXI, II, VII – 10 h
B) XXII, I, VII – 9 h
C) III, II, VIII – 5 h
D) XXI, I, VIII – 11 h
E) XX, II, VII – 11 h
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B: 25 ÷ 15 = 1, remainder 10° > 7.5° → 1 + 1 = II.
C: 110 ÷ 15 = 7, remainder 5° → VII (7 h ahead).
A and C are in different hemispheres: 3 + 7 = 10 h.
Correct answer: A. (Options B and D ignore the remainder of place B: 10° > 7.5°.)
| City (longitude) | Zone (λ ÷ 15°) | Official time | When it is 12:00 in Baku |
|---|---|---|---|
| London (0°) | 0 | UTC+0 (winter) | 08:00 |
| New York (74° W) | XIX | UTC−5 (winter) | 03:00 |
| Istanbul (29° E) | II | UTC+3 | 11:00 |
| Moscow (38° E) | III | UTC+3 | 11:00 |
| Baku (50° E) | III | UTC+4 | 12:00 |
| Beijing (116° E) | VIII | UTC+8 | 16:00 |
| Tokyo (140° E) | IX | UTC+9 | 17:00 |
In winter a plane leaves Baku (UTC+4) for London (UTC+0) at 10:00. The flight takes about 6 hours. What time will it land, London time?
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The flight takes 6 hours: 06:00 + 6 h = 12:00 London time.
To the passenger it feels as if the trip took only 2 hours!
Local time difference and zone time difference
The local time difference of two places is proportional to their difference in longitude and is exact to the minute (Δλ × 4 min). The zone time difference is always a whole number of hours and is found from the zone numbers: if both places are in the same hemisphere, subtract the numbers; if one is east (n) and the other west (N), the difference is n + (24 − N) hours. So the local time difference can be greater than, smaller than or equal to the zone time difference, and DİM tests this often.
1) At a place at 55° E the zone time is 12:00. What is the local time there?
2) In Baku (50° E) the official clock (UTC+4) shows 12:00. What is Baku’s local time?
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The place is 60° − 55° = 5° west of the central meridian → local time is 5 × 4 = 20 min behind: 11:40.
2) UTC+4 is the time of the 60° meridian. Baku is 10° west of it: 10 × 4 = 40 min → local time 11:20.
So local noon in Baku comes at about 12:40 official time.
Choose the pairs of longitudes whose local time difference is greater than their zone time difference.
1) 10° E and 10° W
2) 7° W and 22° E
3) 30° E and 30° W
4) 50° E and 97° E
5) 5° E and 40° E
6) 20° E and 52° E
A) 1, 3, 5 B) 2, 4, 6 C) 1, 2, 4 D) 3, 4, 6 E) 2, 5, 6
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2) Δλ = 29° → 1 h 56 min; zones 0 and I → 1 h (local is greater).
3) Δλ = 60° → 4 h; zones II and XXII → 4 h (equal).
4) Δλ = 47° → 3 h 8 min; zones III and VI → 3 h (local is greater).
5) Δλ = 35° → 2 h 20 min; zones 0 and III (40 ÷ 15 = 2, remainder 10°) → 3 h (local is smaller).
6) Δλ = 32° → 2 h 8 min; zones I and III → 2 h (local is greater).
Correct answer: B) 2, 4, 6.
The International Date Line
Somewhere on the planet a new day has to begin. That place is the International Date Line, which runs mostly along the 180° meridian through the Pacific Ocean. It bends in places so as not to split islands and countries. When you cross it going west (from America to Asia), you add one day to the calendar; going east, you subtract one day.
In diagram tasks a longitude may pass 180°. If, counting eastwards, you get more than 180°, subtract it from 360°, and the place is at west longitude: for example, 150° E + 60° = 210° → 360° − 210° = 150° W. Remember: west of the 180° meridian (the Asian side) the date is one day ahead of the date east of it (the American side).
1) On 21 March the local time at place K, at 150° E, is 10:00. What are the local time and the date at place M, 60° east of K?
2) On 5 May the local time at place L, at 170° W, is 22:00. What are the local time and the date at place N, at 160° E?
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M is to the east: time is 60 × 4 = 240 min = 4 h ahead → 10:00 + 4 = 14:00.
M is on the American side of the 180° meridian → the date is one day back: 20 March, 14:00.
2) From L to 180° is 10°, and from there to 160° E another 20° → N is 30° west of L: time is 2 h behind → 20:00.
We crossed 180° going west → the date moves one day forward: 6 May, 20:00.
On 21 June the local time at place K, at 120° E, is 18:00. At the same moment the local time at place L on the same parallel is 06:00, and at place M it is 21:00. Find the false statement.
A) L is at 60° W.
B) The difference in longitude between K and M is 45°.
C) M is in the Eastern Hemisphere.
D) K is in time zone XI.
E) It is also 21 June at L.
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M: 21 − 18 = 3 h ahead → 45° to the east → 120° + 45° = 165° E (B and C are true).
K: 120 ÷ 15 = 8 → zone VIII, not XI (D is false).
It is 06:00 at L and 18:00 at K on the same day; L lies west of Greenwich without crossing the 180° line (E is true).
Correct answer: D.
Key points
- The Earth turns 15° every hour and 1° every 4 minutes; places to the east are ahead in time.
- Time zones are numbered eastwards from Greenwich: 0 (XXIV), I, II … XXIII; each zone is 15° wide.
- Zone: λ ÷ 15°, add 1 if the remainder > 7.5°; at west longitude subtract from 24.
- The local time difference is exact to the minute (Δλ × 4 min); the zone time difference is in whole hours.
- Azerbaijan is geographically in zone III, but its official time is UTC+4.
- Crossing the date line westwards adds a day; crossing eastwards takes a day away.
Check yourself
12 questions. Every correct answer earns XP.