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The International Call Across Time Zones (illustration)
FILE No.45Unsolved

The International Call Across Time Zones

Difficulty ★★☆about 5 minEveryday MysteryTime zonesAlibis
The crime was at 8 p.m. Japan time. Four people gave the local times of calls from abroad. Fix the time difference and compare.

Case Record

At 8:00 p.m. (Japan time), a safe was ransacked in an office in Tokyo. Four people on business trips abroad each claim, "I was making a call from where I was at the time of the crime." The call records kept the local times.

  • Ito: called from Dubai at 3:00 p.m. local time
  • Uno: called from Beijing at 7:00 p.m. local time
  • Ogawa: called from Bangkok at 6:00 p.m. local time
  • Kato: called from Dubai at 8:00 p.m. local time

Japan is ahead of Dubai by 5 hours, of Beijing by 1 hour and of Bangkok by 2 hours (none of these places uses daylight saving time).

Your question

Who was not on the phone at the time of the crime (8:00 p.m. Japan time)?

Case Files

Evidence

Diagram

Local time of each callPersonPlaceLocal timeItoDubai3:00 p.m.UnoBeijing7:00 p.m.OgawaBangkok6:00 p.m.KatoDubai8:00 p.m.Japan is ahead of Dubai by 5 h, Beijing by 1 h and Bangkok by 2 h.
Diagram

Timeline

  1. The safe in the Tokyo office is ransacked.
  2. The four on business trips state the local times of their calls.

Hints

If you get stuck, open the hints one at a time, in order.

Open hint 1

By how many hours is Japan ahead of each country?

Open hint 2

Add that amount to each local time.

Open hint 3

Who does not come to 8:00 p.m. in Japan time?

Solve It

Your question

Who was not on the phone at the time of the crime (8:00 p.m. Japan time)?

Choose the answer closest to the truth.

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The Truth

Kato

The answer is Kato.

Convert each person’s local time to Japan time. Dubai 3:00 p.m. plus 5 hours is 8:00 p.m. in Japan (Ito). Beijing 7:00 p.m. plus 1 hour is 8:00 p.m. (Uno). Bangkok 6:00 p.m. plus 2 hours is 8:00 p.m. (Ogawa).

Kato’s Dubai 8:00 p.m. plus 5 hours is 1:00 a.m. Japan time (the next day). So he was not on the phone at the time of the crime, 8:00 p.m.

The crime was at 8 p.m.PersonJapan time8 p.m.?Ito8:00 p.m.YesUno8:00 p.m.YesOgawa8:00 p.m.YesKato1:00 a.m. next dayNo
Diagram of the solution

Key Points

  • Convert foreign times to Japan time before comparing
  • "Add" the hours that Japan is ahead
  • Do not compare local times as they are

Why people get fooled

The "local times" in the call records are all written the same way, so you assume they are the same as Japan time.

Similar tricks

  • The type that corrects for time differences
  • The type that aligns the reference of records

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