Imran travels 2m with speed v1 and then 2m with speed v2 his average speed is:
Correct answer: D. (2v₁v₂)/(v₁ + v₂)
- A. (v₁ + v₂)/2
- B. (v₁v₂)/2
- C. (v₁v₂)/(v₁ + v₂)
- D. (2v₁v₂)/(v₁ + v₂)
Explanation
To calculate Imran's average speed, we use the formula: Average Speed = Total Distance / Total Time.Imran travels 2 meters at speed v₁ and then 2 meters at speed v₂ covering a total distance of 4 meters. The total time is the sum of the time taken for each segment: (2m/v₁) for the first part and (2m/v₂) for the second part.Average Speed = 4m / (2m/v₁ + 2m/v₂)Solving this equation yields the correct average speed as (2v₁v₂)/(v₁ + v₂).In summary, the correct method for calculating average speed involves considering both the distances covered and the times taken at different speeds, leading to the expression (2v₁v₂)/(v₁ + v₂) as the accurate average speed for Imran's journey.
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