The speed of train P is 180 km/hr and the train can cross a pole in 4 seconds. Train P can cross a man who sitting in train Q in 10 seconds, while both trains running in same direction.

Quantity I: Speed of train Q (in m/sec.).

Quantity II: If speed of train P is decrease by 20 m/sec., then find the new speed of train P (in m/sec.)

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  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 no relation

Answer (Detailed Solution Below)

Option 5 : Quantity I = Quantity II or no relation
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Detailed Solution

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Calculation

Speed of train P (in m/sec.) = 180 × 5 18 = 50 m/sec.

Length of train P = 50 × 4 = 200 meters

Relative speed of train P and Q = 200/10 = 20 m/sec.

So, speed of train Q = 50 – 20 = 30 m/sec.

Quantity I: Speed of train Q = 30 m/sec.

Quantity II: New speed of train P = 50 – 20 = 30 m/sec.

So, Quantity I = Quantity II

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