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If a car moves from Jaipur to Delhi at a speed of 60 km/hr and comes back from Delhi to Jaipur at a…

For equal distances covered at speeds \(v_1 = 60\text{ km/hr}\) and \(v_2 = 40\text{ km/hr}\), the average speed is the harmonic mean: \(\frac{2 v_1 v_2}{v_1 + v_2} =…

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If a car moves from Jaipur to Delhi at a speed of 60 km/hr and comes back from Delhi to Jaipur at a speed of 40 km/hr. What is the average speed during the journey ?

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For equal distances covered at speeds v1=60 km/hrv_1 = 60\text{ km/hr} and v2=40 km/hrv_2 = 40\text{ km/hr}, the average speed is the harmonic mean: 2v1v2v1+v2=2×60×4060+40=4800100=48 km/hr\frac{2 v_1 v_2}{v_1 + v_2} = \frac{2 \times 60 \times 40}{60 + 40} = \frac{4800}{100} = 48\text{ km/hr}.

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