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A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

A. 50 m

B. 150 m

C. 200 m

D. Data inadequate

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Correct Answer :

B. 150 m

L e t t h e l e n g t h o f t h e t r a i n b e x m e t r e s a n d i t s s p e e d b y y m / s e c . T h e n, \frac{x}{y} = 15 \Rightarrow y = \frac{x}{15} . T h e r e f o r e \frac{x + 100}{25} = \frac{x}{15} \Rightarrow 15 (x + 100) = 25 x \Rightarrow 15 x + 1500 = 25 x \Rightarrow 1500 = 10 x \Rightarrow x = 150 m .

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