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Time Zones across Days

Maths · Stage 3
Year 5
★ Extension · Stage 3 (Years 5–6)
Lesson Guide
Explanation
The Earth turns towards the east, so the sun rises in the east first, and places to the east are ahead. Perth is two hours behind Sydney; Auckland is two hours ahead. Ahead means add the difference, behind means subtract. When it is three in Sydney it is one in Perth and five in Auckland, and Perth to Auckland is the two differences added, four hours. The real zones shift with daylight saving; here the differences are fixed and stated in the question.
Your Turn
Sydney is 2 h ahead of Perth. It is 10 am in Sydney. What time is it in Perth? Check: 8 am.
Watch Out
Behind means EARLIER. Perth's clock shows a smaller time than Sydney's at the same moment.
Explanation
When the difference is large, converting can move the day. Sydney is seventeen hours ahead of Los Angeles. Sydney Monday oh eight hundred, minus seventeen: eight hours back reaches Monday midnight, nine more reach Sunday fifteen hundred. It is still Sunday afternoon in Los Angeles. Going the other way, LA Friday twenty hundred plus seventeen is Saturday thirteen hundred in Sydney. Hop to midnight, then the rest, and write the day name at every step, because losing a day is the usual error.
Your Turn
Sydney Tuesday 0600. What day and time is it in LA (17 h behind)? Check: Monday 1300.
Watch Out
Going back through midnight changes the day to the one BEFORE. Monday 0800 − 17 h is Sunday, not Monday.
Explanation
A flight is two steps done in order. First forget time zones: the plane lands twenty hours after it leaves, so Saturday twenty-three hundred plus twenty is Sunday nineteen hundred, Los Angeles time. Then convert once: Sydney is seventeen hours ahead, and Sunday nineteen hundred plus seventeen is Monday twelve hundred. You left on Saturday night and land on Monday at midday, because the clocks jumped seventeen hours as well as the twenty you spent flying. Converting first gives the same answer, and it must.
Your Turn
LA Saturday 2300 in Sydney time (17 h ahead)? Check: 1 h to Sunday 0000, 16 h more → Sunday 1600.
Watch Out
Add the flight time to the clock of the city you LEFT. Mixing the two clocks in one sum gives nonsense.
Explanation
Flying west the clock seems to go backwards. Leave Sydney at ten on Monday morning, fly fourteen hours, and it is midnight Monday in Sydney; but Los Angeles is seventeen hours behind, so it is seven on Monday morning there — three hours before you left, by the clock, though fourteen hours really passed. Flying west you gain clock time, flying east you lose it. The same two steps every time: flight time on the departure clock, then convert.
Your Turn
Leave Perth at 0600, fly 5 h to Sydney (2 h ahead). Sydney clock on landing? Check: 1100 Perth = 1300 Sydney.
Watch Out
Landing "before you left" is real by the clock. Do not "fix" it — check the two steps and trust them.
Explanation
The whole lesson in four lines: ahead, add; behind, subtract; a flight goes on the departure clock first and is converted once; and the day name is written at every step. If Sydney is seventeen ahead of Los Angeles and two ahead of Perth, then Perth is fifteen ahead of Los Angeles. A call at seven in the evening from Sydney reaches Los Angeles at two in the morning, which is worth knowing before dialling. Quiz and exercises now.
Your Turn
Sydney is 17 h ahead of LA and 2 h ahead of Perth. How many hours is Perth ahead of LA? Check: 17 − 2 = 15.
Watch Out
Read WHICH city the answer is wanted in. A landing time in LA time and in Sydney time are 17 hours apart.
📌 Key Points — this lesson in a nutshell
  • Places to the east are ahead: Sydney is 2 h ahead of Perth, Auckland is 2 h ahead of Sydney. (No daylight saving in this lesson.)
  • Ahead → add the difference. Behind → subtract. Sydney 3 pm is Perth 1 pm and Auckland 5 pm.
  • A big difference can change the day: Sydney is 17 h ahead of Los Angeles, so Sydney Monday 0800 is LA Sunday 1500.
  • A flight: work in the departure city's time (departure + flight time), then convert to the arrival city once at the end.
Step 1: Introduction
Step 1 of 5
The same moment in three cities 121234567891011Perth 1 pm121234567891011Sydney 3 pm121234567891011Auckland 5 pm The Earth turns east, so the sun rises in the east first: places to the east are AHEAD. Perth is west of Sydney and 2 hours behind. Auckland is east of Sydney and 2 hours ahead. Ahead → add. Behind → subtract. Sydney 3 pm: Perth 1 pm, Auckland 5 pm. Perth to Auckland is 2 + 2 = 4 hours. Perth 0900 is Auckland 1300. Real zones shift with daylight saving; in this lesson the differences are fixed and given in the question.
Sydney is 17 hours ahead of Los Angeles Sydney Mon 0800− 8 hMon 0000− 9 hSun 1500=LA Sun 3 pm Subtracting 17 h from Monday 0800 goes back through midnight, so LA is still on SUNDAY. Hop to midnight first (8 h), then the rest (9 h) into the day before: Sunday 1500. The other way: LA Friday 2000 + 17 h → 4 h to Saturday 0000, 13 h more → Saturday 1300 in Sydney. Write the day name at every step. Losing a day is the usual error, not the arithmetic. Sydney Tuesday 0600 → LA: 6 h to Tuesday 0000, 11 h more → Monday 1300.
Leave LA Saturday 2300, fly 20 hours LA Sat 2300+ 1 hSun 0000+ 19 hSun 1900(LA time)lands First, ignore time zones: the plane lands 20 hours after it leaves, so Sunday 1900 LA time. Then convert once: Sydney is 17 h ahead. Sunday 1900 + 17 h → 5 h to Monday 0000, 12 h more → Monday 1200. Leave Saturday night, land Monday midday. Only 20 hours passed, but the clocks jumped 17 as well. Two steps, in this order: add the flight time in the departure city's clock, THEN convert to the arrival city. Converting first works too (Sat 2300 LA = Sun 1600 Sydney; + 20 h = Mon 1200) — same answer, as it must be.
Leave Sydney Monday 1000, fly 14 hours to LA Syd Mon 1000+ 14 hTue 0000 (Syd)− 17 hMon 0700=LA Mon 7 am Leave Monday morning, fly 14 hours, land on Monday morning — 3 hours BEFORE you left, by the clock. Sydney Monday 1000 + 14 h = Tuesday 0000 Sydney time. LA is 17 h behind: 17 h back from Tuesday 0000 is Monday 0700. Flying west you "gain" time; flying east you "lose" it. Either way 14 hours actually passed. Perth 0600 + 5 h flight = 1100 Perth time; Sydney is 2 h ahead → lands at 1300 Sydney time. Same two steps every time: flight time on the departure clock, then convert.
Reading the question Sydney 3 pm. Perth (2 h behind)?1 pm Sydney Mon 0800. LA (17 h behind)?Sun 1500 Leave LA Sat 2300, fly 20 h. Land, Sydney time?Mon 1200 Sydney 17 h ahead of LA, 2 h ahead of Perth. Perth ahead of LA by?15 h Ahead → add. Behind → subtract. Flight → departure clock first. Day name at every step. A phone call at 7 pm Sydney is 2 am in LA — probably not a good time. Quiz and exercises now.
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