Question
A train 150 m long crosses a pole in 12 seconds. It also
crosses a platform in 32 seconds. Find the length of the platform.Solution
Speed from pole: Speed = Distance / Time = 150 / 12 = 12.5 m/s Convert to km/h: 12.5 × (18/5) = 12.5 × 3.6 = 45 km/h Let platform length = L. When crossing the platform, distance = 150 + L Time = 32 s ⇒ (150 + L)/32 = 12.5 ⇒ 150 + L = 12.5 × 32 = 400 ⇒ L = 400 − 150 = 250 m Answer: Platform length = 250 m
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