A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is | Important MCQ with Explanation

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A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is

70km/hr
60km/hr
50km/hr
None

Answer: 50km/hr

Explanation

Speed of the train relative to man $= (\frac{1 2 5}{1 0}) m / s e c$
$= (\frac{2 5}{2}) m / s e c$
$= (\frac{2 5}{2} \times \frac{1 8}{5}) k m / h r$
$= 45 k m / h r$
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
$∴ x - 5 = 45 \Rightarrow x = 50 k m / h r$ .

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Lahore High Court Admin Office Coordinator Past Paper dated 13-10-2022

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