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Question

If a man walks at the rate of 5 kmph, he misses a train by 7 minutes.
However, if he walks at the rate of 6 kmph, he reaches the station 5
minutes before the arrival of the train. Find the distance covered by
him to reach the station.



Options:
A .  3 km
B .  4 km
C .  5 km
D .  6 km
Answer: Option D


Let the required distance be x km
Difference in the time taken at two speeds = 12 min = 1/5 hr
Hence x/5 - x/6 = 1/5
<=>6x - 5x = 6
x = 6
Hence, the required distance is 6 km




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