Multiple choice

If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?

  1. 4/5 km

  2. 5/4 km

  3. 5/5km

  4. 6/4 km

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be D. Time1 = D/3, Time2 = D/4. Difference is 4 minutes (2 min late + 2 min early) = 4/60 hours = 1/15 hours. D/3 - D/4 = 1/15 => D/12 = 1/15 => D = 12/15 = 4/5 km.

AI explanation

Using the formula Time equals Distance divided by Speed, the time difference between the two speeds is 2/60 plus 2/60 hours, equaling 1/15 of an hour. The equation is Distance/3 minus Distance/4 equals 1/15, which simplifies to Distance/12 equals 1/15. Multiplying 12 by 1/15 yields a distance of 4/5 km.