Multiple choice

A train passes a 100 metres long platform in 28 seconds and a man standing on the platform in 20 seconds. The speed of the train is: 100 मीटर लम्बे प्लेटफार्म को एक ट्रेन 28 seconds में पार करती है और प्लेटफार्म पर खड़े एक व्यक्ति को 20 seconds में पार करती है | ट्रेन की चाल ज्ञात कीजिये |

  1. 45 km./hr (किमी./घंटा)

  2. 36 km./hr (किमी./घंटा)

  3. 24 km./hr (किमी./घंटा)

  4. 40 km./hr (किमी./घंटा)
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A Correct answer
Explanation

Let train length be L meters and speed be v m/s. When passing a man, distance = L, time = 20s, so L = 20v. When passing the platform, distance = L + 100, time = 28s, so L + 100 = 28v. Substituting: 20v + 100 = 28v, giving 8v = 100 or v = 12.5 m/s. Converting to km/hr: 12.5 × 18/5 = 45 km/hr.

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