Question : A 200 m long train is running at a speed of 100 km/hr. In how much time will it pass a man standing near the railway line?
Option 1: 10.4 sec
Option 2: 9.2 sec
Option 3: 7.2 sec
Option 4: 6.4 sec
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Correct Answer: 7.2 sec
Solution :
Length of train = 200 m
Speed of train = 100 km/hr
1 km/hr = $\frac{5}{18}$ m/sec
100 km/hr = $100 \times \frac{5}{18}=\frac{250}{9}$ m/sec
Time = $\frac{\text{Distance}}{\text{Speed}}=\frac{200}{(\frac{250}{9})}=7.2$ sec
Hence, the correct answer is 7.2 sec.
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