Question : The time in which a train 1800 m long, travelling at the speed of 30 km/hr, will pass a signal pole is:
Option 1: 200 seconds
Option 2: 250 seconds
Option 3: 220 seconds
Option 4: 216 seconds
Correct Answer: 216 seconds
Solution :
Given: A train 1800 m long, travelling at the speed of 30 km/hr.
Convert km/hr into m/s by multiplying it with $\frac{5}{18}$.
⇒ 30 km/hr = 30 × $\frac{5}{18}$ = $\frac{25}{3}$ m/s
Now, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$
So, the time in which a train passes a signal pole $=\frac{1800}{\frac{25}{3}}=\frac{1800\times 3}{25}=216$ seconds
Hence, the correct answer is 216 seconds.
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