Two trains having lengths of 210 m and 140 m
Two trains having lengths of 210 m and 140 m are running at speeds of 80 km/h and 150 km/h, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:
210 m और 140 m लंबाई वाली दो रेलगाड़ियाँ एक ही दिशा में क्रमश: 80 km/h और 150 km/h की चाल से गतिमान हैं। पीछे से आ रही तेज चाल वाली रेलगाड़ी को पूरी तरह से पार करने में कितना समय (मिनटों में) लगेगा?
Detailed Solution & Logic
0.3
$ L_1 = 210,\text{m}, ; L_2 = 140,\text{m} $
Total distance = 210 + 140 = 350, m
$80,\text{km/h} = \frac{80 \times 1000}{3600} = \frac{200}{9},\text{m/s} $
$ 150,\text{km/h} = \frac{150 \times 1000}{3600} = \frac{125}{3},\text{m/s} $
$ \text{Relative speed} = \frac{125}{3} - \frac{200}{9} = \frac{175}{9},\text{m/s} $
$ \text{Time} = \frac{350}{175/9} = \frac{350 \times 9}{175} = 18,\text{s} $
$18,\text{s} = \frac{18}{60} = 0.3,\text{minutes} $
Answer = 0.3, minutes
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