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Three Seconds to the Thunder (illustration)
FILE No.179Unsolved

Three Seconds to the Thunder

Difficulty ★☆☆about 5 minEveryday MysterySoundDistance
Thunder was heard 3 seconds after the lightning. How far away is it?

Case Record

The sky flashed, and 3 seconds later the sound of thunder was heard. Assume the light arrives instantly and the speed of sound is 340 meters per second.

Your question

About how far away is the lightning?

Case Files

Diagram

3 seconds from flash to thunderLightningYouLight: instant / Sound: 340 m/sHow far is the lightning?
Diagram

Hints

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

Open hint 1

Which arrives first, the light or the sound?

Open hint 2

What is the 3 seconds the time of?

Open hint 3

Distance = speed × time.

Solve It

Your question

About how far away is the lightning?

Choose the answer closest to the truth.

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The Truth

About 1 km

The answer is "About 1 km."

Light arrives almost instantly, so the 3 seconds is the time the sound traveled. 340 m/s × 3 s = 1,020 m, about 1 km.

About 340 m would be for 1 second, and about 10 km for 30 seconds.

The 3 s is the sound's travel timeItemDetail1 sabout 340 m3 s340 × 3 = 1020 mAnswerabout 1 km
Diagram of the solution

Key Points

  • The speed of light can be ignored
  • Use the time the sound traveled
  • Distance = speed × time

Why people get fooled

Because you are not aware of the difference between light and sound.

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