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Question

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


Options:
A .  4 km
B .  5 km
C .  6 km
D .  7 m
Answer: Option C

Let the required distance be  `x` km.

Difference in he time taken at two speeds = 12 min. =  `1/5` hr.

`:.`     `x/5 - x/6 = 1/5      hArr   6x - 5x = 6     hArr  x `= 6.

Hence , the required distance is 6 km.



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