Multiple choice

Find the value of both quantities and then state the correct relationship.\nA train of length (x) meters travelling at the speed of 36 km per hour can cross a pole standing on a platform in 15 seconds but at the speed of 54 km per hour it can cross a platform of (y) meters long in 24 seconds. \nQuantity I : What is the length of the train? \nQuantity II : What is the length of the platform?

  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
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C Correct answer
Explanation

Speed 36 km/h = 10 m/s. In 15 seconds, train length = 10 × 15 = 150m. Speed 54 km/h = 15 m/s. In 24 seconds, train + platform = 15 × 24 = 360m. Platform length = 360 - 150 = 210m. Since 210m > 150m, Quantity II (platform) > Quantity I (train).

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