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Machiavelli

A 120 𝑚 long...

Question

A $120 m$ long train is moving in a direction with speed $20 m / s$ . $A$ train $B$ moving with
$30 m / s$ in the opposite direction and $130 m$ long crosses the first train in a time

A

None of these

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B

6 s

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C

38 s

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D

36 s

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Solution

The correct option is A None of these
Given:
Length of train $A = 120 m$
Speed of train $A = 20 m / s$
Length of train $B = 130 m$
Speed of train $B = 30 m / s$
Total distance $= 130 + 120 = 250 m / s$
Relative velocity of $B w . r . t A$
$V_{B} A = 30 - (- 20) = 50 m / s$
Time taken by the train $B$ to cross train $A$ is,
$Time (t) = \frac{distance}{velocity} = 250 / 50 = 5 s$

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