Question : A 100 metres long train is running at a speed of 120 km/h. The time taken to pass a person standing near the line is:
Option 1: 1 second
Option 2: 3 seconds
Option 3: 5 seconds
Option 4: 7 seconds
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Correct Answer: 3 seconds
Solution : Given: The distance of the train is 100 m and its speed is 120 km/h. We know that $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$. To convert km/h into m/s, multiply with $\frac{5}{18}$, we get, $120$ km/h =$120\times \frac{5}{18}$ m/s So, the time required to pass a person standing near the line is $\frac{100\times18}{120\times5}= 3$ seconds. Hence, the correct answer is 3 seconds.
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