Multiple choice

A train running at the speed of 20 metres/second crosses a pole in 24 seconds less than the time it requires to cross a platform thrice its length at the same speed. What is the length of the train? एक रेलगाड़ी जिसकी गति 20 मी./से. है, एक खम्भे को अपने से तीन गुने लम्बाई के प्लेटफार्म को पार करने में उसी गति से लगे समय से 24 सेकंड कम समय में पार करती है। रेलगाड़ी की लम्बाई क्या है?

  1. 270 metres/मीटर

  2. 340 metres/मीटर

  3. 180 metres/मीटर

  4. 160 metres/मीटर
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D Correct answer
Explanation

Let train length be L. Time to cross pole = L/20 seconds. Time to cross platform = (L + 3L)/20 = 4L/20 = L/5 seconds. The difference: L/5 - L/20 = 24. Solving: (4L - L)/20 = 24, so 3L = 480, giving L = 160 metres. This is a standard train problem where crossing a pole requires covering the train's length, while crossing a platform requires covering train length plus platform length.

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