Multiple choice

A car travels a distance of $2000$ m. If the first half distance is covered at $40$ km/ hour and the second half with speed $v$ and the average speed is $48$ km/hour, then the value of $v$ is

  1. $56$ km/hour
  2. $60$ km/hour
  3. $50$ km/hour
  4. $48$ km/h
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed = Total distance / Total time. 48 = 2000 / (1000/40 + 1000/v). 48 = 2000 / (25 + 1000/v). 25 + 1000/v = 2000/48 = 41.66. 1000/v = 16.66. v = 1000 / 16.66 = 60.

AI explanation

Using the average speed formula for equal distances, 48 = (2 * 40 * v) / (40 + v). Simplifying this equation gives 48 * (40 + v) = 80v, which further reduces to 1920 + 48v = 80v. Solving for v gives 32v = 1920, so the value of v is 60 km/hour.

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