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

$\huge\tt{Required\:answer:}$

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.

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

→ 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 is 150 meter ★

Explanation:

Given:

• Time taken for crossing pole 15 seconds
• Time taken for crossing platform 25 seconds
• Length of platform is 100 meter

To Find:

• The length of train

Solution: Let the length of train is 'x' meter and Speed of train is 'y' m/s

→Then, $\large{\sf {\frac{</strong><strong>x</strong><strong>}{</strong><strong>y</strong><strong>}}}$ = 15

★ We know that Speed = $\large{\sf {\frac{</strong><strong>Distance</strong><strong>}{</strong><strong>Time</strong><strong>}}}$

→ y = x/15

According to the question:

→ (100+x) / 25 = x / 15

→ 1500+ 15x = 25x

→ 1500 = 25x – 15x

→ 1500x = 10

→ x = 150

Hence, The length of Train is 150 m