A train 110 m long is running at 60 km / hr. In what time will it pass a man,…

2023

A train 110 m long is running at 60 km / hr. In what time will it pass a man, running in the direction opposite to that of the train at 6 km/hr?

  1. A.

    9 sec

  2. B.

    7 sec

  3. C.

    6 sec

  4. D.

    12 sec

Attempted by 1 students.

Show answer & explanation

Correct answer: C

The correct answer is Option C: 6 sec.

Step-by-Step Solution

  1. Understand Relative Speed: When two objects move in opposite directions, their relative speed is the sum of their individual speeds.

    • Train speed = 60 km/hr

    • Man speed = 6 km/hr

    • Relative speed = 60 + 6 = 66 km/hr.

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

    • Relative speed in m/s = 66 * (5/18)

    • 66 * 5 = 330

    • 330 / 18 = 55/3 m/s (or approximately 18.33 m/s).

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

    • Distance = 110 m

    • Time = 110 / (55/3)

    • Time = 110 * (3/55)

    • Time = 2 * 3 = 6 seconds.

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