M. Tyra Solutions for Chapter: Trains, Exercise 1: Exercises

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.

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 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 overtakes two persons who are walking in the same direction in which the train is going, at the rate of $2 \mathrm{kmph}$ and $4 \mathrm{kmph}$ respectively and passes them completely in $9$ and $10$ seconds respectively. The length of the train is _____ metres.

A $476$-metre-long moving train crosses a pole in $14$ seconds. The length of a platform is equal to the distance covered by the train in $20$ seconds. A man crosses the same platform in $7$ minutes and $5$ seconds. What is the speed of the man in metre/second?

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 $\mathrm{m}$)

At $60\%$ of its usual speed, a train of length L metres crosses a platform $240$ metres long in $15$ seconds. At its usual speed, the train crosses a pole in $6$ seconds. What is the value of L (in metres)?

Train A travelling at $63 \mathrm{kmph}$ can cross a platform $199.5 \mathrm{m}$ long in $21$ seconds. How much time would train A take to completely cross (from the moment they meet) train B, $287 \mathrm{m}$ long and travelling at $54 \mathrm{kmph}$ in opposite direction of that in which Train A is travelling?