Question : If a train is 75 metres long and moving at 60 km/hr, how long does it take to pass by a certain telegraph post?
Option 1: 3.5 seconds
Option 2: 4.5 seconds
Option 3: 5 seconds
Option 4: 5.4 seconds
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Correct Answer: 4.5 seconds
Solution :
Given: The distance of the train is 75 m and its speed is 60 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,
$60\ km/h=60\times \frac{5}{18}=\frac{50}{3} m/s$
So, the train will take the required time, $\frac{75}{\frac{50}{3}}= 4.5$ seconds
Hence, the correct answer is 4.5 seconds.
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