A 270 meter long train running at the speed of 120 km/h crosses another train…

2024

A 270 meter long train running at the speed of 120 km/h crosses another train running in the opposite direction at the speed of 80 km/h in 9 seconds.What is the length of other train.

  1. A.

    200 m

  2. B.

    230 m

  3. C.

    260 m

  4. D.

    300 m

Attempted by 1 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

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

    • Relative Speed = 120 km/h + 80 km/h = 200 km/h.

  2. Convert Speed to Meters per Second (m/s): Multiply by 5/18 to convert from km/h to m/s.

  • Relative Speed = 200 * (5/18) = 1000/18 = 500/9 m/s.

  1. Calculate Total Distance: The total distance covered when one train crosses another is the sum of their lengths.

  • Total Distance = Relative Speed * Time

  • Total Distance = (500/9) * 9 = 500 meters.

  1. Find Length of the Other Train:

  • Length of Train 1 + Length of Train 2 = Total Distance

  • 270 m + Length of Train 2 = 500 m

  • Length of Train 2 = 500 m - 270 m = 230 meters.

Explore the full course: Amcat Preparation