Multiple choice

Radha completed her journey in $8$ hours. She covered half the distance at $40\ km/hr$ and the rest at $60\ km/hr$. Find the total distance of the journey.

  1. $384\ kms$
  2. $400\ kms$
  3. $360\ kms$
  4. $420\ kms$
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A Correct answer
Explanation

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

AI explanation

Let half the total distance be D, so the time taken for the first half is D/40 and the time for the second half is D/60. The total time of 8 hours equals (D/40) plus (D/60), which combines to 3D/120 plus 2D/120. This simplifies to 5D divided by 120, so 8 equals D/24, meaning D equals 192 km. Since D represents only half the journey, the total distance is 192 multiplied by 2, giving 384 kms.

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