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JEE Main20252 Apr 2025Morning ShiftPhysicsMotion in Two DimensionsActual

A river is flowing from west to east direction with speed of 9 ~km ~h ⁻¹ . If a boat capable of moving at a maximum speed of 27 ~km ~h ⁻¹ in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 150^ to direction of river flow, then the width of the river is :

Options

  1. A300 m
  2. B112.5 m
  3. C75 m
  4. D112.5 3 ~m

Correct answer

B. 112.5 m

Step-by-step solution

V _ = river flow =27 60^ = 27 2 ~km / hr . Time taken =30 sec . S = Vt = 27 2 5 18 30 ~m =112.5 ~m

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