Multiple choice

Directions: You are given two quantities, Quantity I and Quantity II. Compare the two quantities and choose the correct option accordingly. Train A running at a speed of 144 km/h crosses a platform of length 200 m in 8 seconds. Train B running at a speed of 108 km/h crosses a platform of length 180 m in 10 seconds. Quantity I: Length of train A Quantity II: Length of train B

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I = Quantity II

  4. No relation
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train A: Speed = 144 * 5/18 = 40 m/s. Distance = 40 * 8 = 320m. Length = 320 - 200 = 120m. Train B: Speed = 108 * 5/18 = 30 m/s. Distance = 30 * 10 = 300m. Length = 300 - 180 = 120m. Both are 120m.

AI explanation

Convert the speeds to m/s by multiplying 144 by 5/18 to get 40 m/s for train A, and 108 by 5/18 to get 30 m/s for train B. Using the distance formula, train A covers 40 m/s times 8 seconds, equaling 320 meters as the sum of its length and the 200 meter platform, so its length is 120 meters. For train B, 30 m/s times 10 seconds equals 300 meters as the total distance, and subtracting the 180 meter platform leaves a train length of 120 meters. Therefore, the lengths are identical. The result is Quantity I = Quantity II.

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