Question : Rajdhani Express train of length 108 m is running at the speed of 128 km/h. Another train of length 148 m is standing at the station. At what time will the Rajdhani Express cross the other train?
Option 1: 8 seconds
Option 2: 7.5 seconds
Option 3: 9 seconds
Option 4: 7.2 seconds
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Correct Answer: 7.2 seconds
Solution :
Total relative distance for rain to cover = 108 + 148 = 256 m
Speed of the train = 128 km/h = $\frac{320}{9}$ m/s
$\therefore$ Time taken = $\frac{\text{Distance}}{\text{Speed}}$
Or, time taken = $\frac{256}{\frac{320}{9}}$ = 7.2 sec
Hence, the correct answer is 7.2 seconds.
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