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:
The distance covered by him to reach the station
Step 1: Define variables and set up equations
Let D be the distance to the station (in km) and T the scheduled arrival time of the train (in hours).
Step 2: Solve the equations
From the first equation: T = D/4 - 1/10.
Substituting in the second:
D/5 = (D/4 - 1/10) - 1/10
D/5 = D/4 - 1/5
Step 3: Isolate D
D/5 - D/4 = -1/5
(4D - 5D)/20 = -1/5
-D/20 = -1/5
D = 4
Answer: 4 km
Reinforce your conceptual grasp with related questions from NIMCET 2020:
Which of the four options should fill the missing cell?
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