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Answer :
Final answer:
The length of each train is calculated by finding the relative speed and multiplying it by the time it takes for one train to pass the other. The distance covered is twice the length of one train, which upon calculation is approximately 50 meters. Therefore the correct option is 1).
Explanation:
To find the length of the trains, we need to calculate the relative speed at which the faster train overtakes the slower train. The relative speed is the difference between the speeds of the two trains, converted from km/hr to m/s, which is:
(46 km/hr - 36 km/hr) × (1000 m/km) / (3600 s/hr) = 10 km/hr × (1000/3600) m/s = 2.78 m/s.
Since the faster train takes 36 seconds to pass the slower train completely, and they are of equal length, the distance covered during this time, which is twice the length of one train, is the relative speed times the time:
2.78 m/s × 36 s = 100.08 m.
Therefore, the length of each train is half of this distance:
100.08 m / 2 = 50.04 m.
Given that our choices are in whole numbers, the answer is rounded to the nearest whole number, which is 50 meters, corresponding to option 1).
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