Multiple choice

Find the correct relationship between given quantities. A train passes another train coming from the opposite direction at a speed of 32 km/hr. Find the length of the train. Quantity I- Sum of lengths of both trains is 480 meter and its speed is 25% more than the speed of the other train. Quantity II- Difference of lengths of both trains is 80 meter and its speed is 25% less than the speed of the other train.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established

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

This question has inconsistent information. If relative speed is 32 km/hr and one train is 25% faster than other, let slower = x, then 2.25x = 32, so x ≈ 14.2 km/hr. With sum = 480m and difference = 80m, lengths would be 280m and 200m. However, we also have that one train is 25% slower (different from being 25% faster). These conditions create inconsistency - we cannot determine a unique length that satisfies all constraints. Therefore, the relationship cannot be established.