Speed of sound travel-time puzzle: Two listeners hear the same sound at 5 s and 6 s. Speed of sound = 300 m/s. Find the maximum and minimum possible distances between the two persons. Choose the correct option.

Given

• Speed of sound, v = 300 m/s
• Arrival times: 5 s and 6 s

Step 1: Convert times to distances from source
d₁ = v × 5 = 300 × 5 = 1500 md₂ = v × 6 = 300 × 6 = 1800 m

Step 2: Use triangle inequality for possible placements
Maximum separation when persons are on opposite sides of the source: d_max = d₁ + d₂ = 1500 + 1800 = 3300 m.Minimum separation when they are colinear on the same side: d_min = |d₂ − d₁| = 1800 − 1500 = 300 m.

Final Answer
Maximum 3300 m; Minimum 300 m