Multiple choice

A person covers first half of his journey at 40 km/hr and the remaining at 80 km/hr. If it takes him 3 hr to complete the journey, what is the time taken by him to complete the first part of the journey?

  1. 2 hr

  2. 1.5 hr

  3. 2.5 hr

  4. None of these

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total distance be 2D. Time = D/40 + D/80 = 3. 3D/80 = 3, so D = 80 km. Time for first part = D/40 = 80/40 = 2 hours.

AI explanation

Let the total distance be 2x kilometers, so each half of the journey is x kilometers. The time taken for the first half is x divided by 40, and the time for the second half is x divided by 80. The total time is 3 hours, so (x/40) + (x/80) equals 3, which simplifies to 3x divided by 80 equals 3. Solving this gives x = 80, so the time for the first part is 80 divided by 40, which is 2 hr.

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