Question

A person standing on a platform see that a train crosses the platform 160 m long in 54 sec and himself in 30 sec. then find the length of the train

Answer 1

Speed of the train =60km an hour
Speed of the man =600miles an hour

Answer 2

Answer:

200 m

Step-by-step explanation:

Let the length of the train be  x

We are given that A person standing on a platform see that a train crosses the platform 160 m long in 54 sec

So, total length = Length of train + Length of platform = x+160

Time = 54 sec

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

$Speed = \frac{x+160}{54}$  --1

Now we are given that a train crosses himself in 30 sec.

So,Distance =x

Time = 30 sec

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

$Speed = \frac{x}{30}$  ---2

Equating 1 and 2

$\frac{x}{30}= \frac{x+160}{54}$

$54x=30x+4800$

$24x=4800$

$x=\frac{4800}{24}$

$x=200$

Hence the length of the train is 200 m