A person is walking parallel to a railway line , at a speed of $5$ km/hr. A train travelling in opposite direction at $49$ km/hr, passes him in $12$ seconds. Find the length of the train.

160

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130

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120

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180

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Solution

The correct option is B $180$ m
We know
$d i s t a c e = s p e e d \times t i m e$
Here the distance is the length of the train.
When two objects bodies are moving in opposite directions at $x k m / h r$ and $y k m / h r$ then their $r e l a t i v e s p e e d = (x + y) k m / h r$
Therefore, $r e l a t i v e s p e e d = 49 + 5 = 54 k m / h r$
$\Rightarrow r e l a t i v e s p e e d = 54 k m / h r = 54 \times \frac{5}{18} = 15 m / s$
$t i m e = 12 s e c$
$d i s t a n c e = 15 \times 12 = 180 m$

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