| 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? |
A) \[\frac{3}{4}km\]
B) \[\frac{4}{5}km/h\]
C) \[\frac{1}{4}km\]
D) \[1\,\,km\]
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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