Multiple choice

In the following questions, two quantities are given as Quantity I and Quantity II. Find the correct relationship. The length of First train is 40 % more than the length of second train. First train crosses a 200 m long platform whereas second train crosses a person standing on same platform in 25 sec. If speed of both trains are 60 km/hr. and 36 km/hr. respectively. $Quantity I = Numerical value of the time taken by first train to cross a 200 m long platform (in seconds).$ $Quantity II = Numerical value of the length of second train (in deca meter).$

  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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A Correct answer
Explanation

First find the length of the second train: 36 km/hr = 10 m/s, so length = 10 × 25 = 250 m. The first train is 40% longer, so its length = 1.4 × 250 = 350 m. Quantity I = (350 + 200) / (60 × 5/18) = 550 / (50/3) = 33 seconds. Quantity II = 250 m = 25 deca meters. Since 33 > 25, Quantity I is greater.

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