Explanation
1. Identify Given Data:
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Speed 1 (s1) = 4 km/h
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Speed 2 (s2) = 5 km/h
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Time difference (Δt):
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Case 1: 6 min late (+6 min)
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Case 2: 6 min early (−6 min)
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Total difference = 6−(−6)=12 min
2. Convert Time to Hours:
Since the speed is in km/h, we convert 12 minutes into hours:
3. Apply the Distance Formula:
When the distance is constant and two different speeds result in a time difference, we use the formula:
Distance=∣s1−s2∣s1⋅s2⋅Δt
4. Calculation:
Substitute the values into the equation:
Final Answer:
The distance covered by him is 4 km.
Correct Option: (a)