$A$ train $100 \; m$ long is running at the speed of $30 \; km/hr$. Find the time (in $sec$) taken by it to pass a man standing near the railway line.

How many seconds will a $500 \;m$ long train take to cross a man walking with a speed of $3 \;km/h$ in the same direction as the moving train,if the speed of the train is $63 \;km/h$?

$A$ $270 \;m$ long train running at a speed of $120 \;km/hr$ crosses another train running in the opposite direction at a speed of $80 \;km/hr$ in $9 \;seconds$. What is the length (in $m$) of the other train?

$A$ train $240 \; m$ long passed a pole in $24 \; s$. How long (in $s$) will it take to pass a platform $650 \; m$ long?

Two trains $140 \; m$ and $160 \; m$ long run at a speed of $60 \; km/hr$ and $40 \; km/hr$ respectively in opposite directions on parallel tracks. The time (in $seconds$) which they take to cross each other is:

$A$ train running at the speed of $60 \; km/hr$ crosses a pole in $9 \; seconds$. What is the length (in $m$) of the train?