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If a man walks at the rate of 4 km/hr, he misses a train by only 6 minutes. However, if he walks at the rate of 5 km/hr, he reaches the station 6 minutes before the arrival of the train. The distance covered by him to reach the station is:




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Nikhil Pandey-pic
Nikhil Pandey , A computer NERD
Commented Jul 29 , 2023
The distance covered by the man to reach the station is 4 km. Let x be the number of minutes that the train arrives after the man starts walking. When the man walks at 4 km/hr, he covers x/4 km in x minutes. When the man walks at 5 km/hr, he covers (x + 12)/5 km in (x + 12) minutes. Since the man covers the same distance in both cases, we have the equation: x/4 = (x + 12)/5 5x = 4x + 48 x = 48 minutes. The distance covered by the man to reach the station is 4 km. Here is the solution in more detail: Step 1: Let x be the number of minutes that the train arrives after the man starts walking. Step 2: When the man walks at 4 km/hr, he covers x/4 km in x minutes. Step 3: When the man walks at 5 km/hr, he covers (x + 12)/5 km in (x + 12) minutes. Step 4: Since the man covers the same distance in both cases, we have the equation: x/4 = (x + 12)/5 Step 5: Solve the equation for x: 5x = 4x + 48 x = 48 minutes Step 6: The distance covered by the man to reach the station is 4 km. I hope this helps! Let me know if you have any other questions.

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