Quantitative Aptitude Ques 890

Question: If I walk at 3 km/h, I miss a train by 2 min. If however, I walk at 4 km/h, then I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?

Options:

A) $ \frac{3}{4}km $

B) $ \frac{4}{5}km/h $

C) $ \frac{1}{4}km $

D) $ 1km $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the distance travelled by me to reach the station by x km. Then, $ \frac{x}{3}-\frac{x}{4}=\frac{4}{60}=\frac{1}{15} $

$ \Rightarrow $ $ \frac{4x-3x}{12}=\frac{1}{15} $

$ \Rightarrow $ $ x=\frac{12}{15}=\frac{4}{5}km $

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