Multiple choice

A motor vehicle left the point A and reached the point B by travelling in a straight line for $2$ hours. The vehicle travelled half of the distance at a speed of $v_1=40$ km/h and other half at a speed of $v_2=60$ km/h. The distance between A and B is?

  1. $86$ km
  2. $96$ km
  3. $76$ km
  4. $106$ km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the total distance be 2d. Time taken = d/40 + d/60 = 2 hours. (3d + 2d) / 120 = 2, so 5d / 120 = 2. 5d = 240, d = 48. Total distance 2d = 96 km.

AI explanation

Let the total distance be 2x kilometers, so each half is x kilometers. The time taken for the first half is x divided by 40 hours, and the time taken for the second half is x divided by 60 hours. Since the total time is 2 hours, the equation is (x/40) + (x/60) = 2, which simplifies to 3x + 2x = 240, yielding x = 48 km. Therefore, the total distance between A and B is 2 multiplied by 48, resulting in 96 km.

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