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AP EAMCET202124 Aug 2021Morning ShiftPhysicsMotion in One DimensionActual

A train travels from city- A to city- B with a constant speed of 18 ~ms ⁻¹ and returns back to city- A with a constant speed of 36 ~ms ⁻¹ . Find its average speed during the journey.

Options

  1. A72 5 ~ms ⁻¹
  2. B36 3 ~ms ⁻
  3. C72 3 ~ms ⁻¹
  4. D36 5 ~ms ⁻¹

Correct answer

C. 72 3 ~ms ⁻¹

Step-by-step solution

Given that, speed of train from city- A to city- B , v₁=18 ~m / s Speed of train from city- B to city- A v₂=36 ~m / s In this process, the distance travelled by train from A to B and B to A will be equal. Now, using the expression of average speed for equal distance, we know v_ a v = 2 v₁ v₂ v₁+v₂ By substituting the values, we get aligned v_ a v & = 2 18 36 18+36 & = 2 36 18 54 = 72 3 ~m / s aligned

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