Multiple choice

A car covers the first half of the distance between two places at a speed of 40 km and the second half at 60 km $h^{-1}$. Find the average speed of the car.

  1. $100 km h^{-1}$
  2. $50 km h^{-1}$
  3. $48 km h^{-1}$
  4. $52 km h^{-1}$
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C Correct answer
Explanation

Average speed for equal distances is 2 * v1 * v2 / (v1 + v2). Here, 2 * 40 * 60 / (40 + 60) = 4800 / 100 = 48 km/h.

AI explanation

Since equal distances are traveled at two different speeds, we use the average speed formula for two equal parts: 2xy / (x + y). Substituting the given speeds of 40 km/h and 60 km/h gives (2 * 40 * 60) / (40 + 60) = 4800 / 100. The average speed is 48 km/h.

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