Multiple choice

Two trains with their speeds in the ratio of 3 : 4 are going in opposite directions along parallel tracks. If each takes 9 seconds to cross a telegraph post, then the time taken by the trains, to cross each other completely, will be दो रेलगाड़ियाँ, जिनकी गति का अनुपात 3 : 4 है, समानान्तर पटरियों पर विपरीत दिशा से चलते हुए एक दूसरे की ओर आ रही है।अगर प्रत्येक रेलगाड़ी 9 सेकेण्ड में एक टेलीग्राफ पोस्ट को पार करती है तो एक-दूसरे को पार करने में उन्हें कितना समय लगेगा?

  1. 9 seconds/सेकेण्ड

  2. 3 seconds/सेकेण्ड

  3. 18 seconds/सेकेण्ड

  4. 12 seconds/सेकेण्ड

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A Correct answer
Explanation

Let speeds be 3x and 4x. From crossing telegraph posts in 9 seconds, lengths are 27x and 36x respectively. When crossing each other in opposite directions, relative speed = 3x + 4x = 7x. Total distance = 27x + 36x = 63x. Time = distance/speed = 63x/7x = 9 seconds.