Multiple choice

Passage

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

A train of length 360 m is travelling at a speed of 54 km/hr. Quantity I : Find the time take by train to cross a pole Quantity II : If its speed is increased by 20% then find the time in which it can cross a platform of length 120 m.

  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

Quantity I: Train length = 360 m, speed = 54 km/hr = 54 × 5/18 = 15 m/s. Time to cross pole = 360/15 = 24 seconds. Quantity II: New speed = 54 × 1.2 = 64.8 km/hr = 64.8 × 5/18 = 18 m/s. Total distance = 360 + 120 = 480 m. Time = 480/18 = 26.67 seconds. Comparing: 24 seconds < 26.67 seconds, so Quantity I < Quantity II.

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