Question

2. A train passes by a stationary man standing on the platform in 8 seconds and passes by the
platform completely in 32 seconds. If the length of the platform is 270 metres, what is the length of the
train?

Answer 1

ONE HUNDRED AND THIRTY FIVE METRES

THAT'S 135 metres

Answer 2

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

* Let the Length of Train be "x".

* Speed is Constant ( As Person was Standing on Platform and Platform don't Moves )

$\large \boxed { \tt{Speed = \frac{Distance}{Time} }}$

★ As Speed is Constant ; So

$\large \implies \boxed {\tt{ \frac{D_1}{T_1 } = \frac{D_2}{ T_2} }}$

$\large \implies \tt{\frac{x}{8} = \frac{x + 270}{32} }$

$\large \implies \tt{32 \times x = 8(x + 270)}$

$\large \implies \tt{32x = 8x + 2160}$

$\large \implies \tt{32x - 8x = 2160}$

$\large \implies \tt{x = \frac{2160}{24} }$

$\huge \implies \boxed{\tt{x = 90m}}$

$\orange{\large\therefore \: \bold{Length~of~the~Train~is~90m.}}$

$\huge{\red{\ddot{\smile}}}$