Question
A train passes Peter who is walking at the speed of 2
km/h in the direction in which the train is moving. Peter can see the train for 15 minutes and 12 km. What is the time taken by the train to cover 300 km?Solution
ATQ, Let the speed of the train be 'v' km/h. Relative speed of Peter = (v - 2) km/h (Since, train and Peter are moving in the same direction) Using, distance = speed × time 12 = (v - 2) × (15/60) Or, 12 × (60/15) = v - 2 Or, 48 = v - 2 So, 'v' = 50 Therefore, required time taken = (300/50) = 6 hours
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