Two trains, 232 m and 248 m in length, are running in opposite directions.
Two trains, 232 m and 248 m in length, are running in opposite directions. The first runs at the rate of 51 km/hr and the second at the rate of 57 km/hr. How long will they take to cross each other?
232 m और 248 m लंबी दो ट्रेनें विपरीत दिशाओं में चल रही हैं। पहली ट्रेन की चाल 51 km/h और दूसरी ट्रेन की चाल 57 km/h है। उन्हें एक-दूसरे को पार करने में कितना समय लगेगा?
Detailed Solution & Logic
16 seconds
Solution
Length of first train = 232 m
Length of second train = 248 m
Total distance to be covered while crossing each other:
232 + 248 = 480 m
Speeds of the trains:
First train = 51 km/h
Second train = 57 km/h
Since they move in opposite directions, relative speed:
51 + 57 = 108 km/h
Convert speed into m/s:
$108 \times \frac{5}{18} = 30 \text{ m/s}$
Time required:
$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$
$= \frac{480}{30}$
= 16 seconds
Correct option: 16 seconds
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