A train $700 m$ long is running at $72$ kmph . If it crosses a tunnel in $1$ minute, the length of the tunnel is :

700 m

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600 m

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550 m

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500 m

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Solution

The correct option is D $500 m$
Length of Train $= 700 m$
Length of tunnel $= X$ (let)
Time taken to cross the tunnel $= 1 m i n u t e = 60 s e c$
Speed $= 72 k m p h = 72 \times \frac{5}{18} = 20$ m sec.
To cross the tunnel train needs to travel $=$ Length of train $+$ Length of tunnel $= 700 + x$
Now,
$S p e e d \times T i m e = D i s t a n c e$
$20 \times 60 = 700 + x$
$x = 1200 - 700 = 500$
Length of tunnel $= 500 m$

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