Multiple choice

The speed of two train are in the ratio of 4:5. They are running in the same direction along the parallel tracks.If each cross a pole in 5second.Find the time required by fast train to cross the slow train completely? दो रेलगाड़ी की चाल का अनुपात 4 : 5 हैं | यदि यह समान दिशा में समान्तर पटरी पर चल रही है और एक खंभे को पार करने में 5 सेकंड लेती है | ज्ञात कीजिये की तेज रेलगाड़ी धीमी रेलगाड़ी को कितने समय में पार करेगी ?

  1. 9 seconds/सेकेंड्स

  2. 15 seconds/सेकेंड्स

  3. 30 seconds/सेकेंड्स

  4. 45 seconds/सेकेंड्स
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D Correct answer
Explanation

Speed ratio 4:5, both cross pole in 5 seconds, so lengths are in ratio 4:5. Let speeds be 4v and 5v, lengths be 4L and 5L. Since length = speed × time: 4L = 4v × 5, so L = 5v. Fast train length = 25v, slow train length = 20v. Relative speed (same direction) = 5v - 4v = v. Total distance = 45v. Time = 45v/v = 45 seconds.

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