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Clear Skies in 72 Hours (illustration)
FILE No.105Unsolved

Clear Skies in 72 Hours

Difficulty ★☆☆about 5 minEveryday MysteryTimeAssumptions
At midnight in a downpour, a friend asks, "Will it be sunny in 72 hours?" Will the sun be visible?

Case Record

It is midnight in an ordinary town, with rain pouring down. (This is not the North or South Pole.) A friend says, "Do you think it'll be sunny in 72 hours?"

(Assume the forecast for 72 hours from now is sunny.)

Your question

Will the sun be visible in 72 hours?

Case Files

Diagram

72 hours from nowNow:midnight,heavy rain+24 hours+48 hours+72 hours:sunny(forecast)The place is an ordinary town (not the North or South Pole).
Diagram

Hints

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

Open hint 1

How many days is 72 hours?

Open hint 2

What time is it exactly 3 days later?

Open hint 3

Can you see the sun at midnight?

Solve It

Your question

Will the sun be visible in 72 hours?

Choose the answer closest to the truth.

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The Truth

No. It will be midnight again in 72 hours

The answer is "No. It will be midnight again in 72 hours."

72 hours is exactly 3 days. Three days after midnight is midnight again. Even if the weather is clear, the sun is not up.

There is no reason to think it will definitely rain (the forecast says sunny). And it will not be daytime in 72 hours.

72 hours is exactly 3 daysNow midnight+24 h midnight+48 h midnight+72 hmidnightAfter 72 hours it is midnight again. Even if it is clear, the sun is notup.
Diagram of the solution

Key Points

  • Convert hours into days
  • Notice that the time of day repeats
  • "Sunny" and "the sun is visible" are different things

Why people get fooled

Because you immediately link "sunny" with "the sun is visible."

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