Multiple choice

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (Only quantity is to be considered) A train of length (x) meters travelling at the speed of 54 km per hour can cross a boy standing on a platform in 16 seconds but at the speed of 72 km per hour it can cross a platform of (y) meters long in 24 seconds. Quantity I: What is the length of the train? Quantity II: What is the length of the platform?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Converting 54 km/h to m/s: 54 × (5/18) = 15 m/s. Time to cross a boy = length of train / speed, so x = 15 × 16 = 240 meters. For platform crossing: train distance = x + y, speed 72 km/h = 20 m/s, time 24 seconds. So 240 + y = 20 × 24 = 480, giving y = 240 meters. Therefore Quantity I (train length 240m) equals Quantity II (platform length 240m).

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