Trains Running in Opposite Direction

It takes $24$ seconds for a train travelling at $93 \mathrm{kmph}$ to cross entirely another train half its length travelling in opposite direction at $51 \mathrm{kmph}$. It passes a bridge in $66$ seconds. What is the length of the bridge? (in $\mathrm{m}$)

Two stations A and B are $110 \mathrm{km}$ apart on a straight line. One train starts from A at $7 \mathrm{a}.\mathrm{m}.$ and travels towards B at $20 \mathrm{km}$ per hour speed. Another train starts from B at $8 \mathrm{a}.\mathrm{m}.$ and travels towards A at a speed of $25 \mathrm{km}$ per hour. At what time will they meet?

A train, $100$ metres long, moving at a speed of $50 \mathrm{kmph}$, crosses a train $120$ metres long coming from opposite direction in $6$ seconds. The speed of the second train is _____ $\mathrm{kmph}$.

Two trains running in the same direction at $40 \mathrm{kmph}$ and $22 \mathrm{kmph}$ completely pass one another in $1$ minute. If the length of the first train is $125$ metres, the length of the second train is _____ metres.

Two trains are running in opposite directions with speeds of $62 \mathrm{kmph}$ and $40 \mathrm{kmph}$ respectively. If the length of one train is $250$ metres and they cross each other in $18$ seconds, the length of the other train is _____ metres.

A train $100$ metres in length passes a milestone in $10$ seconds and another train of the same length travelling in opposite direction in $8$ seconds. The speed of the second train is _____ $\mathrm{kmph}$.

Two trains, each $80 \mathrm{m}$ long, pass each other on parallel lines. If they are going in the same direction, the faster one takes one minute to pass the other completely. If they are going in different directions, they completely pass each other in $3$ seconds. Find the rate of each train in $\mathrm{m}$ per second.

Two trains measuring $100$ and $80 \mathrm{m}$ respectively, run on parallel lines of rails. When travelling in opposite directions they are observed to pass each other in $9$ seconds, but when they are running in the same direction at the same rates as before, the faster train passes the other in $18$ seconds. Find the speed of the two trains in $\mathrm{km}$ per hour.

Two trains running at the rates of $45$ and $36 \mathrm{km}$ an hour respectively, on parallel rails in opposite directions, are observed to pass each other in $8$ seconds, and 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 lengths of the trains.

A train $75$ metres long overtook a person who was walking at the rate of $6 \mathrm{km}$ an hour, and passed him in $7\frac{1}{2}$ seconds. Subsequently it overtook a second person, and passed him in $6\frac{3}{4}$ seconds. At what rate was the second person travelling?

How many seconds will a train $60 \mathrm{m}$ in length, travelling at the rate of $42 \mathrm{km}$ an hour, take to pass another train $84 \mathrm{m}$ long, proceeding in the same direction at the rate of $30 \mathrm{km}$ an hour?