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How many seconds will a 500 m long train take to cross a man walking with a speed of 3 kmph in the same direction of the moving train if the speed of the train is 63 km / hr

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answer is B.

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Detailed Solution

Distance = 500 m

$S_{1} = 63 k m p h$

$S_{2} = 3 k m p h$

$∴ B o t h a r e s a m e d i r e c t i o n relative s p e e d = S_{1} - S_{2}$

$= 63 - 3 = 60 k m p h$

$= 60 \times \frac{5}{18} = \frac{300}{18} m / \sec$

$= \frac{50}{3} m / \sec$

$T = D / S = 500 \times \frac{3}{50} = 30 \sec$

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