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Two persons start from the junction of two perpendicular roads with velocities 3 m / s e c and 4 m / s e c . The rate at which the two persons separate is

Options

  1. A5 m / s e c
  2. B25 m / s e c
  3. C4 m / s e c
  4. D3 m / s e c

Correct answer

A. 5 m / s e c

Step-by-step solution

Let, at time t , the distance between the two persons be x   m ⇒ x = 3 t 2 + 4 t 2 ⇒ x = 5 t ⇒ d x d t = 5     m / s e c

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