Motion in a Straight Line · NEET Preparation Physics

A car travels the first half of a total distance with a speed of 20text{ m/s} and the second half with a speed of 30text{ m/s}. The average speed of…

Practice question from Motion in a Straight Line (NEET Preparation Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-5DF314

A car travels the first half of a total distance with a speed of 20 m/s20\text{ m/s} and the second half with a speed of 30 m/s30\text{ m/s}. The average speed of the car for the entire journey is:

  1. A.24 m/sCorrect answer
  2. B.25 m/s
  3. C.26 m/s
  4. D.22 m/s

Solution

Let total distance be 2d2d. Time taken for the first half is t1=d20t_1 = \frac{d}{20} and for the second half is t2=d30t_2 = \frac{d}{30}. Average speed = Total distanceTotal time=2dd20+d30=23+260=1205=24 m/s\frac{\text{Total distance}}{\text{Total time}} = \frac{2d}{\frac{d}{20} + \frac{d}{30}} = \frac{2}{\frac{3+2}{60}} = \frac{120}{5} = 24\text{ m/s}.

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