If I walk from my house to the station at a speed of 5 kmph, my train would have left 7 minutes before I reached the station. But if I walk at a speed of 6 kmph, I reach the station 5 minutes before the train leaves. Accordingly, what is the distance between my house and the station?

Question

CIVILSHUB IAS · Accepted Answer

6 km. Let the distance from home to the station be = $x$ km. According to the question $$ \frac{x}{5} - \left(\frac{7}{60}\right) = \frac{x}{6} + \left(\frac{5}{60}\right) $$

If I walk from my house to the station at a speed of 5 kmph, my train would have left 7 minutes before I reached the station. But if I walk at a speed of 6 kmph, I reach the station 5 minutes before the train leaves. Accordingly, what is the distance between my house and the station?

Explanation