Multiple choice

(\text{Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly.}\\text{Quantity I: A train 175 meter long passes a man moving at 6 kmph in the same direction in which the train is going, in 10 seconds.Speed of the train.}\\text{Quantity II: Average speed of a car going from point A to B at 65 kmph and back from point B to A at 70 kmph.})

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I > 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
A Correct answer
Explanation

Quantity I: Train's relative speed to man = (Train speed - 6 kmph). Distance = 175 m, Time = 10 sec. Relative speed in m/s = 175/10 = 17.5 m/s = 63 kmph. Train speed = 63 + 6 = 69 kmph. Quantity II: Average speed = 2 × 65 × 70 / (65 + 70) = 9100 / 135 ≈ 67.41 kmph. Since 69 > 67.41, Quantity I > Quantity II, so Option A is correct.

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