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KCET2026PhysicsMotion in One Dimension

A car covers the first half of the distance between two places at 40 km/h and another half at 50 km/h. The average speed of the car is

Options

  1. A45.00 km/h
  2. B44.44 km/h
  3. C43.14 km/h
  4. D42.04 km/h

Correct answer

B. 44.44 km/h

Step-by-step solution

Let the total distance be 2d . Time taken to cover the first half of the distance is t₁ = d 40 . Time taken to cover the second half of the distance is t₂ = d 50 . Total time taken is t = t₁ + t₂ = d 40 + d 50 = 9d 200 . Average speed is given by the ratio of total distance to total time. v_ avg = 2d 9d 200 = 400 9 = 44.44 km/h. Answer: 44.44 km/h

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