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Cambridge 0580 IGCSE  ·  Topic E1.15

E1.15 Time

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01 — Explanation

How do I convert between units of time?

11 year =365=365 days; standard relationships apply between seconds, minutes, hours, days, weeks, and months — always check which unit the question wants before converting.

02 — Explanation

How do I read and calculate with the 24-hour clock?

15:15 means 3.15 p.m.; 03:15 means 3.15 a.m. When adding a duration to a 24-hour time and the total reaches or passes 24:00, subtract 2424 hours and move the date forward by one day.

03 — Explanation

How do I solve a problem involving time zones?

Time zones are given relative to UTC/GMT — e.g. UTC+8+8 means 88 hours ahead of UTC. To convert a local time from one zone to another, add or subtract the difference between their offsets, remembering that moving to a zone with a larger offset means adding time.

Examiner Tip: The two things everyone forgets under time pressure: (1) rolling the calendar day forward once a running total passes 24:0024{:}00, and (2) which direction to move when crossing into a zone with a bigger UTC offset.

Worked Example

A flight leaves London (UTC+0+0) at 23:40 on Monday. The flight takes 1111 hours 5050 minutes. The destination, Singapore, is UTC+8+8. Find the local day and time of arrival in Singapore.

  1. Add the flight duration in London time: 23:40+11h 50min=35:3023{:}40 + 11\text{h }50\text{min} = 35{:}30.
  2. This exceeds 2424 hours, so subtract 24:0024{:}00 and move the day forward by one: 35:30−24:00=11:3035{:}30 - 24{:}00 = 11{:}30 on Tuesday (London time).
  3. Convert to Singapore local time by adding the 88-hour zone difference: 11:30+8:00=19:3011{:}30 + 8{:}00 = 19{:}30.
  4. This stays within the same day, so arrival is 19:30 on Tuesday, Singapore time.

04 — Explanation

What are the standard unit relationships I need to know by heart?

RelationshipValue
Seconds in a minute6060
Minutes in an hour6060
Hours in a day2424
Days in a week77
Days in a year365365 (the syllabus does not require leap-year adjustments)

These conversions chain together for less direct questions — e.g. converting a duration given in seconds into hours means dividing by 6060 twice, then by 2424 if it also needs to become days.

05 — Explanation

How do I calculate a duration directly from a timetable, without converting to decimal hours?

Subtract the start time from the end time by working in whole minutes throughout, borrowing an hour (as 6060 minutes) if the minutes of the start time are larger than the minutes of the end time — exactly like column subtraction, but base 6060 instead of base 1010.

Worked Example

A train departs at 09:45 and arrives at 13:20. Find the journey time.

  1. Minutes: 20−4520 - 45 can't be done directly, so borrow 11 hour (6060 minutes) from the hours column: 80−45=3580 - 45 = 35 minutes.
  2. Hours: since 11 hour was borrowed, compute 13−1−9=313 - 1 - 9 = 3 hours.
  3. The journey takes 33 hours 3535 minutes.

Examiner Tip: Never subtract the times as if they were ordinary decimals (e.g. 13.20−9.45=3.7513.20 - 9.45 = 3.75, then misreading that as "3 hours 75 minutes" or "3.75 hours"). Time is base 6060, not base 1010 — always borrow 6060 minutes, not 100100.