Multiple choice

If a body moves half of the distance between two points with a speed of $10\ kmph$ and remaining half with a constant speed of $15\ kmph$, then the average speed of the body is :

  1. $12.5\ kmph$
  2. $12\ kmph$
  3. $0\ kmph$
  4. $10\ kmph$
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B Correct answer
Explanation

Average speed for equal distances is 2*v1*v2 / (v1+v2). 2 * 10 * 15 / (10 + 15) = 300 / 25 = 12 kmph.

AI explanation

When a body travels equal distances at two different speeds, the average speed is found using the formula 2xy / (x + y). Let the two speeds be 10 kmph and 15 kmph. Substituting the values gives (2 * 10 * 15) / (10 + 15) = 300 / 25 = 12 kmph.

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