Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.

Train ‘A’ can cross a pole in 20 seconds and a platform which is 60 m long in 25 seconds. Train ‘A’ can cross train ‘B’ coming from opposite direction in 15 seconds. Ratio between speed of train ‘A’ to train ‘B’ is 2 : 3. Quantity I: Length of train ‘B’ Quantity II: Length of train ‘A’

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or relation can't be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let train A's length = L and speed = S. L/20 = S (pole crossing time). (L+60)/25 = S (platform crossing). Equating: L/20 = (L+60)/25, giving L = 240 m and S = 12 m/s. Speed ratio A:B = 2:3, so B's speed = 18 m/s. When crossing opposite: (12+18) × 15 = 240 + Length_B, giving 450 = 240 + Length_B, so Length_B = 210 m. Comparing: 210 m < 240 m, so Quantity I < Quantity II.

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