Question
Speeds of train 'A' and train 'B' are in the ratio 2:3,
respectively. Train 'B' can completely overtake train 'A' in 150 seconds. If lengths of train 'A' and train 'B' are 300 metres and 450 metres, respectively, then find the time taken by the two trains to cross each other while they are running in opposite directions.Solution
Let the speeds of train 'A' and train 'B' be '2x' m/s and '3x' m/s, respectively.
ATQ;
(300 + 450) / (3x - 2x) = 150
⇒ 750 / x = 150 ⇒ x = 5
So, required time = (300 + 450) / (2×5 + 3×5) = 750 / 25 = 30 seconds
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