A train 125m long is running at 50 km/ hr. In what time will it pass a man ,…

2024

A train 125m long is running at 50 km/ hr. In what time will it pass a man , running at 5 km/hr in the same direction in which the train is going?

  1. A.

    22 sec

  2. B.

    10 sec

  3. C.

    11 sec

  4. D.

    19 sec

Attempted by 1 students.

Show answer & explanation

Correct answer: B

The correct answer is Option B: 10 sec.

Step-by-Step Solution

  1. Understand Relative Speed: When two objects move in the same direction, their relative speed is the difference between their individual speeds.

    • Train speed = 50 km/hr

    • Man speed = 5 km/hr

    • Relative speed = 50 - 5 = 45 km/hr.

  2. Convert Speed to Meters per Second (m/s): To match the distance in meters, convert the speed from km/hr to m/s by multiplying by 5/18.

    • Relative speed in m/s = 45 * (5/18)

    • 45 * 5 = 225

    • 225 / 18 = 25/2 m/s (or 12.5 m/s).

  3. Calculate Time: Time is calculated by dividing the distance (length of the train) by the relative speed.

    • Distance = 125 m

    • Time = 125 / (25/2)

    • Time = 125 * (2/25)

    • Time = 5 * 2 = 10 seconds.

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