Multiple choice

(\text{Find the values and state the correct relationship.}\\text{Quantity I: The length of train if train can cross a pole in 18 seconds and a 210 m platform in 39 seconds.}\\text{Quantity II: The length of platform if 200 m long train passes a pole in 20 seconds and platform in 46 seconds})

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Train crosses pole in 18 sec, so length L = 18 × speed. Crosses 210 m platform in 39 sec, so L+210 = 39 × speed. Subtracting: 210 = 21 × speed, so speed = 10 m/s. Therefore L = 18 × 10 = 180 m. Quantity II: 200 m train crosses pole in 20 sec, so speed = 10 m/s. Platform length P satisfies 200+P = 46 × 10 = 460, so P = 260 m. Comparing: 180 < 260, so Quantity II > Quantity I.

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