Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

Difficulty: Medium

Correct Answer: 3:2

Explanation:

Given

Train 1 passes a man in 27 s
Train 2 passes a man in 17 s
They cross each other in 23 s (opposite)

Let speeds be v₁, v₂ (m/s)
Lengths: l₁ = v₁ × 27, l₂ = v₂ × 17Crossing: (l₁ + l₂)/(v₁ + v₂) = 23⇒ 27v₁ + 17v₂ = 23v₁ + 23v₂⇒ 4v₁ = 6v₂ ⇒ v₁/v₂ = 3:2

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