Trains A and B are running towards each other at a speed of 97 km/hr. and 83 km/hr. respectively and cross each other completely in 5.4 seconds. If train A is 46 m longer than train B, find the length of train B.a)104 mb)112 mc)128 md)136 mCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Let the length of train B be ‘x’ m
⇒ Length of train A = (x + 46) m

Now, when two bodies are moving towards each other or in opposite direction, their relative speed is the sum of their individual speeds
⇒ Relative speed of trains = 97 + 83 = 180 km/hr. = 180 × (5/18) = 50 m/sec.

Now,
⇒ Time taken by trains to cross each other = Sum of lengths of train/relative speed
⇒ 5.4 = (x + 46 + x)/50
⇒ 270 = 2x + 46
⇒ 2x = 224
⇒ x = 224/2 = 112 m
∴ Length of train B is 112 m

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