Question

A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25 seconds. The length of the train is

Answer 1

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Explanation:

TO FIND:

Length of train=?

GIVEN:

Train crosses pole=15sec

Crosses the platform=25sec

Length of platform=100m

Let 'X' be the length of train and 'Y' be it's speed.

$\red{\boxed{\green{Speed=distance/time}}}$

→y=x/15

→x+100/25=x/15

→15(x+100)=25x

→15x+1500=25x

→1500=25x-15x

→1500=10x

→x=1500/10

→x=150m

Thus the length of train is 150 metre

Answer 2

Answer:

Length of train=?

GIVEN:

Train crosses pole in 15sec.

Crosses the platform in 25sec

Length of platform=100m

Let x m be the length of train and y be it's speed.

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

$=>y=\frac{x}{15}$

$=>\frac {x+100}{25}=\frac {x}{15}$

$=>15(x+100)=25x$

$=>15x+1500=25x$

$=>1500=25x-15x$

$=>1500=10$

$=>\frac{1500}{10} =x$

$=>x=150$

Hence, the length of train is 150 metre.