Multiple choice

A train having speed 48 km/hr. crosses another train running in opposite direction having the half of its length in 12 seconds. If the same train crosses a railway platform in 45 seconds, then what will be the length of the platform ? 48 किमी/घंटा की चाल से चलने वाली एक रेलगाड़ी, विपरीत दिशा आ रही अपने की आधी लम्बाई वाली दूसरी रेलगाड़ी को 42 किमी/घंटा की चाल से 12 सेकंड में पार करती है। यदि यही रेलगाड़ी एक रेलवे प्लेटफार्म को 45 सेकंड में पार करती है तो प्लेटफार्म की लम्बाई क्या होगी ?

  1. 300 m/मी.

  2. 350 m/मी.

  3. 400 m/मी

  4. 450 m/मी.
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C Correct answer
Explanation

Convert speeds to m/s: 48 km/hr = 40/3 m/s and 42 km/hr = 35/3 m/s. When trains cross in opposite directions, their relative speed is the sum: 40/3 + 35/3 = 25 m/s. Distance covered in 12 seconds = 25 × 12 = 300 m, which equals the sum of both train lengths (L + L/2 = 1.5L). So 1.5L = 300 m, giving L = 200 m. For the platform crossing: distance = 200 + platform_length. Using 40/3 m/s and 45 seconds, we get 200 + platform_length = (40/3) × 45 = 600 m, so platform_length = 400 m.

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