Question

A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of train?

Answer 1

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$\mathcal{\blue{\underline{SOLUTION:}}}$

Let train length be 'x' mts

$Speed = \frac{Distance}{Time}$

The train takes 10 sec to cross the pole
=>$Speed_{train}= \frac{x}{10}$
--------------------Eq(1)

The same train takes 20 sec to cross a 200 mts length platform.

=> $Speed_{train}= \frac{x+200}{20}$
--------------------Eq(2)

Solve Eq(1) & Eq(2)

$\frac{x}{10} = \frac{x+200}{20}$

=> 2x = x+200
=> x = 200

•°• The Length of train = 200 mts

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$\mathcal{\huge{\pink{Hope it helps}}}$