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A 141.5 m long train, at a speed of 57 km/h, crosses a platform in 39 seconds. What is the length of the platform?1. 476 m2. 586 m3. 613.5 m4. 461 m |
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Answer» Correct Answer - Option 1 : 476 m Given: Length of train = 141.5 m Speed of train = 57 km/h Time = 39 seconds Formula used: Speed = (distance)/(time) Calculation: Let the length of the platform be 'x' m. Speed of train = 57 km/h ⇒ (57 × 1000)/(3600) m/s ⇒ 95/6 m/s Total length = (length of train) + (length of the platform) ⇒ 141.5 + x Speed = (distance)/(time) ⇒ distance = speed × time ⇒ 141.5 + x = (95/6) × 39 ⇒ x = 617.5 – 141.5 ⇒ x = 476m ∴The length of the platform is 476 m. |
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