Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare the two quantities and find the correct relationship between both the quantities. Quantity I: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. The length of the platform, if the speed of the train is 54 km/hr, is: Quantity II: The length of the train, if a train running at the speed of 54 km/hr crosses a pole in 10 seconds, is:

  1. Quantity I < Quantity II

  2. Quantity I > Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II, or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = 54 km/hr = 15 m/s. Q1: Train length L, Platform P. (L+P)/15 = 36, L/15 = 20. L = 300m, P = 240m. Q2: L/15 = 10, L = 150m. Since 240 > 150, Q1 > Q2.

AI explanation

For Quantity I, convert the speed to 15 m/sec and use the formula length equals speed times time. The train's length is 15 times 20, which is 300 meters, and the combined length of the train and platform is 15 times 36, which is 540 meters; subtracting the train's length gives a platform length of 240 meters. For Quantity II, the train's length is 15 m/sec multiplied by 10 seconds, making it 150 meters. Comparing the two values, 240 is greater than 150.

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