Question
Two trains ‘A’ and ‘B’ of length 480 metres and 320
metres respectively are travelling towards each other. Ratio of speed of ‘A’ to ‘B’ is 2:3. If the trains take 32 seconds to cross each other from the time they meet each other, then find the average of speeds (in km/h) of trains ‘A’ and ‘B’.Solution
Let the speed of ‘A’ and ‘B’ be ‘2y’ and ‘3y’ m/s respectively.
Relative speed = 2y + 3y = ‘5y’ m/s
ATQ,
5y × 32 = 480 + 320
⇒ 160y = 800
⇒ y = 5
Therefore, required average = (2y + 3y) ÷ 2
= 2.5y = 2.5 × 5 = 12.5 m/s = 12.5 × (18/5) = 45 km/h
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