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A train takes 9 sec to cross a pole. If the speed of the train is 48 kmph, then length of the train is?

a) 150 m
b) 120 m
c) 90 m
d) 80 m

Answer: b
Explanation:
$$\eqalign{ & {\text{Time taken by train to cross a pole}} = 9 sec \cr & {\text{Distance covered in crossing a pole}} \cr & {\text{ = length of train}} \cr & {\text{Speed of the train}} = 48 km/h \cr & = \left( {\frac{{48 \times 5}}{{18}}} \right)m/\sec \cr & = \frac{{40}}{3}m/\sec \cr & {\text{Length of the train}} \cr & {\text{ = Speed }} \times {\text{Time}} \cr & {\text{ = }}\frac{{40}}{3} \times 9 \cr & {\text{ = 120 m}} \cr} $$

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