Multiple choice

A car completes a fixed journey in 8 hours. It covers half distance at the speed of 40 km/hour and rest at the speed of 60 km/hour, then the distance of the journey is:

  1. 350 km

  2. 420 km

  3. 384 km

  4. 400 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total distance be 2D. Time = D/40 + D/60 = 8. (3D + 2D)/120 = 8. 5D = 960. D = 192. Total distance = 2D = 384 km.

AI explanation

Let the total distance of the journey be 2d kilometers. The time taken for the first half is d / 40 hours, and the time taken for the second half is d / 60 hours. Since the total time is 8 hours, we write the equation (d / 40) + (d / 60) = 8. Adding the fractions gives 3d / 120 + 2d / 120 = 8, which simplifies to d = 96, making the total distance 2 times 96 or 384 km.

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