Reasoning · Grade 2-2 Time Zones and the Calendar

Problem

Find a city's time from the offset

Six city clocks should show local time, but only Beijing is filled in at 8:00. A city ahead adds its difference and a city behind subtracts it. A 12-hour face shows 16:00 at the 4:00 position. Find local time for Seoul, Dubai, Vancouver, Paris and New York.
Your answer
How to solve
Strategy Work Backwards — Only Beijing's time is known, so I treat it as the start and step along the chain of differences one city at a time, adding when a city is ahead and subtracting when it is behind. Each new city's time comes from the one I just found, so following the chain in order (Beijing to Seoul to Dubai, then Beijing to Vancouver to Paris to New York) settles every clock. A quick sketch of the hands keeps the 24-hour times mapped to the right 12-hour clock face.
1STEP 1

Seoul from Beijing

Seoul is 1 ahead of Beijing: 8 + 1 = 9:00.

8{:}00 + 1 h = 9{:}00
2STEP 2

Dubai from Seoul

Dubai is 5 behind Seoul: 9 − 5 = 4:00.

9{:}00 - 5 h = 4{:}00
3STEP 3

Vancouver from Beijing

Vancouver gives 8 − 16 = −8, so add a day: 16:00, drawn at 4:00.

8{:}00 - 16 h = -8 → -8 + 24 = 16{:}00 (shown as 4{:}00)
4STEP 4

Paris from Vancouver

Paris gives 16 + 9 = 25, so drop a day: 1:00.

16{:}00 + 9 h = 25 → 25 - 24 = 1{:}00
5STEP 5

New York from Paris

New York gives 1 − 6 = −5, so add a day: 19:00, drawn at 7:00.

1{:}00 - 6 h = -5 → -5 + 24 = 19{:}00 (shown as 7{:}00)
6STEP 6

Draw each clock

Every time is on the hour, so all minute hands point to 12.

Answer
Seoul 9:00, Dubai 4:00, Vancouver 16:00, Paris 1:00, New York 19:00
Each step added for 'ahead' and subtracted for 'behind', and any time that fell outside 0-24 was wrapped by adding or subtracting 24, so every answer is a real clock time. Cross-checking against the world is consistent: Seoul is one hour ahead of Beijing, Dubai several hours behind Seoul, and the Vancouver-Paris-New York side ends up in the evening/early hours, matching their far-west and European positions.
Takeaway

Start from the one clock you know and hop city to city: add hours when a place is ahead, subtract when it is behind, and wrap around by 24 if you pass midnight. Just Grade 3 add-and-subtract!

  • Seoul from Beijing
  • Dubai from Seoul
  • Vancouver from Beijing
  • Paris from Vancouver
  • New York from Paris
  • Draw each clock