Question : At what time will a 100 metres long train running at a speed of 50 km/h cross a pillar?
Option 1: 7 seconds
Option 2: 72 seconds
Option 3: 7.2 seconds
Option 4: 70 seconds
Correct Answer: 7.2 seconds
Solution :
Given: The distance of the train is 100 m.
The speed of the train is 50 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,
$50\times \frac{5}{18}=\frac{125}{9}$ m/s
So, the train takes time to cross the pillar = $\frac{100}{\frac{125}{9}}$
= $\frac{36}{5}=7.2$ seconds
Hence, the correct answer is 7.2 seconds.
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