Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. Quantity I: A train 175 meter long passes a bird flying in a straight line at the speed of 9 kmph in the opposite direction in which the train is going, in 12 seconds. Find the Speed of the train. Quantity II: Two trains of length 200 meter and 180 meter are moving in the opposite direction cross each other in 19 second then find the relative speed of the train?

  1. Quantity I < QuantityII

  2. Quantity I ≤ Quantity II

  3. Quantity I > Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II or Relation cannot be establish

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Bird flies opposite to train. Relative speed = (train speed + bird speed). Distance = 175m. Time = 12s = 12/3600 hr = 1/300 hr. Bird speed = 9 kmph. So (S + 9) = 175/(1000 × 1/300) = 175/3.33 ≈ 52.5 kmph. So train speed ≈ 43.5 kmph. Quantity II: Total distance = 200+180 = 380m. Time = 19s. Relative speed = 380/(1000 × 19/3600) = 380 × 3600/19000 = 72 kmph. Since 43.5 < 72, Quantity I < Quantity II is correct.