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A particle moves towards east from a point A to a point B at the rate of 4 ~km / h and then towards north from B to C at the rate of 5 ~km / h . If A B=12 ~km and B C=5 ~km , then its average speed for its journey from A to C and resultant average velocity direct from A to C are respectively

Options

  1. A17 4 ~km / h and 13 4 ~km / h
  2. B13 4 ~km / h and 17 4 ~km / h
  3. C17 9 ~km / h and 13 9 ~km / h
  4. D13 9 ~km / h and 17 9 ~km / h

Correct answer

A. 17 4 ~km / h and 13 4 ~km / h

Step-by-step solution

Time T₁ from A to B= 12 4 =3 hrs T₂ from B to C= 5 5 =1 hrs . Total time =4 hrs . Average speed = 17 4 ~km / hr . Resultant average velocity = 13 4 ~km / hr .

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