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March 10 2018
Question If a man walks at the rate of 5kmph, he misses a train by only 7 min. however if he walks at rate of 6kmph he reaches the station 5 minutes before the arrival of the train. Find the distance travelled by him to reach the station.

Let the required distance be x km.

difference in the time taken at two speeds = 12 mins =1/5 hours

therefore x/5 - x/6 = 1/5

or 6x - 5x = 6

or x = 6km

Hence, the required distance is 6km


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