Question

A train traveling at a speed of 90 km / h is 400 m long. If this train passes a platform in a minute, what is the length of that platform?​

Answer 1

$\huge\orange{✰ǫuestion✰}$

A train traveling at a speed of 90 km / h is 400 m long. If this train passes a platform in a minute, what is the length of that platform?

$\huge\pink{❀ꪖnswer❀}$

Let the speed of the train be x m/sec and length of the train be y m. Then,

Speed of the train

Length of the train

= Time taken by the train to pass the man

⇒

x

y

=15⇒y=15x ......... (1)

and

Speed of train

Length of train + Length of platform

= Time taken by the train to cross the platform

⇒

x

y+90

=30⇒y+90=30x ........ (2)

Put the value of y from (1) in (2)

15x+90=30x⇒15x=90⇒x=6m/sec

∴ Speed of train =(6×

5

18

)km/hr=21.6km/hr.

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