| If I walk at 5 km/h, I miss a train by 7 min. If however, I walk at 6 km/h, I reach the station 5 min before the departure of the train. The distance (in km) between my house and the station is |
A) 6
B) 5
C) 4
D) 3
Correct Answer: A
Solution :
| If the required distance be x km. |
| Then, according to the question, |
| \[\frac{x}{5}-\frac{x}{6}=\frac{12}{60}\]\[\Rightarrow \]\[\frac{6x-5x}{30}=\frac{1}{5}\] |
| \[\Rightarrow \] \[\frac{x}{30}=\frac{1}{5}\]\[\Rightarrow \]\[x=6\,km\] |
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