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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?

  • A.4/5 km
  • B.5/4 km
  • C.6/5 km
  • D.3/4 km

Answer: A

The two walks differ by 4 minutes in arrival: 2 late against 2 early.

\[ \frac{d}{3} - \frac{d}{4} = \frac{4}{60} = \frac{1}{15} \text{ h} \]

\[ \frac{d}{12} = \frac{1}{15} \quad\Longrightarrow\quad d = \frac{12}{15} = \frac{4}{5} \text{ km} \]

Late and early add to give the gap of 4 minutes; taking their difference would give zero.

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