Two trains running towards each other on parallel
Two trains running towards each other on parallel tracks, at speeds of 45 km/hr and 51 km/hr, take 21 seconds to cross each other. If the length of one train is 290 m, then the length (in m) of the other train is:
समानांतर पटरियों पर 45 km/hr और 51km/hr की चाल से , एक – दूसरे की ओर चल रहीं दो रेलगाड़यों को, एक – दूसरे को पार करने में 21 सेकंड का समय लगता हैं। यदि एक रेलगाड़ी की लंबाई 290 m है, तो दूसरी रेलगाड़ी की लंबाई कितनी (m में) हैं?
Detailed Solution & Logic
270
Speed of first train = 45 km/h
Speed of second train = 51 km/h
Relative speed (towards each other)} = 45 + 51 = 96 km/h
96 km/h = $ 96 \times \dfrac{5}{18} = \dfrac{80}{3} $ m/s
Time taken to cross each other = 21s
Total distance covered = Relative speed $\times $ Time = $\dfrac{80}{3} \times$ 21 = 560 m
Let length of second train} = $ x $ m
$ x + 290 = 560 $
$ x = 560 - 290 = 270 $
Answer: 270 m
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