Question : If a man walks at the rate of 5 km/hr, he misses a train by 7 minutes. However, if he walks at the rate of 6 km/h, he reaches the station 5 minutes before the arrival of the train. The distance he covered to reach the station is:
Option 1: 6 km
Option 2: 7 km
Option 3: 6.25 km
Option 4: 4 km
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Correct Answer: 6 km
Solution :
The required distance = $\frac{\text{Product of speeds in kmph}}{\text{Difference of speeds in kmph}}×\text{Difference in time in hours}$
= $\frac{5×6}{6-5}×\frac{7+5}{60}$
= 6 km
So, the distance he covered to reach the station is 6 km.
Hence, the correct answer is 6 km.
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