$A$ train speeds past a pole in $15 \; \text{seconds}$ and a platform $100 \; \text{m}$ long in $25 \; \text{seconds}$. Its length is (in $\text{m}$):

Two trains running at the rate of $45 \; km/h$ and $36 \; km/h$ respectively,on parallel tracks in opposite directions,are observed to pass each other in $8 \; seconds$. When they are running in the same direction at the same rate as before,a person sitting in the faster train observes that he passes the other in $30 \; seconds$. Find the length of the trains (in $m$).

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

$A$ $270 \;m$ 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?

Two goods trains,each $500 \; m$ long,are running in opposite directions on parallel tracks. Their speeds are $45 \; km/hr$ and $30 \; km/hr$ respectively. Find the time (in $seconds$) taken by the slower train to pass the driver of the faster one.

$A$ train $360 \; m$ long is running at a speed of $45 \; km/hr$. In what time (in $sec$) will it pass a bridge $140 \; m$ long?