Question
Two trains ‘G’ and ‘H’ of lengths 360 metres and
540 metres respectively are approaching each other. Their speed ratio is 2:3. They cross each other in 36 seconds. Find the average of their speeds in km/h.Solution
Let the speeds be 2y and 3y m/s respectively.
Relative speed = 2y + 3y = 5y m/s
ATQ,
5y × 36 = 360 + 540
⇒ 180y = 900
⇒ 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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