Multiple choice

Sound produced at a point is heard by a person after 5 seconds, while the same sound is heard by another person after 6 seconds. If the speed of sound is 300 m/s, what could be the maximum and minimum distance between the two persons?

  1. 1.8 km, 0.15 km

  2. 2.2 km, 0.20 km

  3. 2.8 km, 0.25 km

  4. 3.3 km, 0.30 km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the source be at distance d1 and d2 from the two persons. d1 = 300 * 5 = 1500 m. d2 = 300 * 6 = 1800 m. The maximum distance occurs when the persons are on opposite sides of the source: 1500 + 1800 = 3300 m = 3.3 km. The minimum distance occurs when they are on the same side: 1800 - 1500 = 300 m = 0.3 km.

AI explanation

The first person hears the sound at a distance of 300 m/s multiplied by 5 s, which is 1500 m or 1.5 km. The second person hears it at 300 m/s multiplied by 6 s, which is 1800 m or 1.8 km. The maximum distance between them occurs if they are on opposite sides of the source, giving 1.5 + 1.8 = 3.3 km, while the minimum distance occurs if they are on the same side, giving 1.8 - 1.5 = 0.3 km or 0.30 km.

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