Problems on Trains

A train $150 \mathrm{m}$ long is running at $95 \mathrm{kmph}$. How much time will it take to pass a man moving in the same direction at $5 \mathrm{kmph}$?

Two trains are running in opposite direction with the same speed. If the length of each train is $120 \mathrm{metres}$ and they cross each other in $12 \mathrm{seconds}$, the speed of each train (in $\mathrm{km}/\mathrm{hour}$) is

Train $\text{'}\mathrm{A}\text{'}$ leaves Mumbai Central for Lucknow at $11 \mathrm{a}.\mathrm{m}.$ running at the speed of $60 \mathrm{kmph}$. Train $\text{'}\mathrm{B}\text{'}$ leaves Mumbai Central for Lucknow by the same route at $2 \mathrm{p}.\mathrm{m}.$ on the same day, running at the speed of $72 \mathrm{kmph}$. At what time will the two trains meet each other?

If a train runs at $40 \mathrm{km}/\mathrm{hr}$40 km/hr. it reaches its destination late by $11 \min$but if it runs at $50 \mathrm{km}/\mathrm{hr}$ it is late by $5 \min$ only .The correct time for the train to complete the journey is-

A train $125 \mathrm{m}$ long passes a man, running at $5 \mathrm{km}/\mathrm{hr}$ in the same direction in which the train is going, in $10 \sec$. The speed of the train is:

A train $160 \mathrm{m}$ long crosses $160 \mathrm{m}$ long platform in $16 \sec$. What is the speed of the train?

A train crosses a platform $100$-meter-long in $60$ seconds at a speed of $45 \mathrm{km}/\mathrm{hr}$. The time taken by the train to cross an electric pole is______.

A train of length $100 \mathrm{m}$ crosses a pole in $12 \sec$. and crosses a platform in $72 \sec$. what is the length of the platform ?

If a trains runs with the speed of $72 \mathrm{km}/\mathrm{h}$, it reaches its destination late by $15 \mathrm{minutes}$. However, if its speed is $90 \mathrm{km}/\mathrm{h}$, it is late by only$5 \mathrm{minutes}$. The correct time to cover its journey in minutes is:

A train is running at a speed of $99 \mathrm{km}/\mathrm{h}$. If the train is $565 \mathrm{m}$ long, then what will be the time (in second) taken by it to cross a $975 \mathrm{m}$ long tunnel?

Train $A$, $600 m$ long is running at $80 km/hr$ will take how much time to cross a man sitting in another train which is $400 m$ long, running at $64 km/hr$ in the opposite direction

Train A takes $1\frac{4}{5} \mathrm{h}$more than the time taken by train \(B\) to cover a distance of $360 \mathrm{km}$. If the speed of train \(A\) doubles, it will take $36 \min$less than the time taken by train B to travel the same distance. What is the speed (in $(\mathrm{km}/\mathrm{h})$ of train B ?

A train runs first $75 \mathrm{km}$ at a certain uniform speed and next $90 \mathrm{km}$ at an average speed of $10 \mathrm{kmph}$ more than the normal speed. If it takes $3 \mathrm{hours}$ to complete the journey, then how much time will the train take to cover $300 \mathrm{km}$ at normal speed?

Two trains A and B have started from Delhi simultaneously in the same direction. Train A travels at $64 \mathrm{km}/\mathrm{h}$ while the speed of train B is $12.5\%$ less than that of the speed of train A. Thirty minutes later, a third train C starts from Delhi in the same direction. It overtook train A $50$ minutes later than it overtook train B, then the speed of the train C would be.

A train of length $100 \mathrm{m}$ is travelling at $90 \mathrm{km}/\mathrm{hr}.$ It crosses a train travelling in the same direction in $50$ sec and it crosses a man sitting in that train in $20 \sec .$ The length of second train is

A train traveling with uniform speed crosses two bridges of lengths $300 \mathrm{m}$ and $240 \mathrm{m}$ in $21$ seconds and $18$ seconds, respectively. The speed of the train is:

A train travels at a certain average speed for a distance of $63 \mathrm{km}$. Thereafter, it travels a distance of $72 \mathrm{km}$with an average speed of $6$ km/hour more than the original speed. The total time taken to complete the journey is $3$ hours. What is the original average speed of the train? 

A $60 \mathrm{m}$ long train travels at a uniform speed of $72 \mathrm{km}/ \mathrm{hour}$. It passes non-stop along with the $600 \mathrm{m}$ platform of a wayside station. What is the elapsed time for the train to entirely clear the platform? 

I am walking on a platform at $8 \mathrm{km}/\mathrm{h}.$ A train comes from behind and crosses me in $30$ seconds. If the length of the train be $300 \mathrm{m}$, its speed is:

A train is running at the speed of $36 \mathrm{m}/\mathrm{s}$. If it passes a man walking in the opposite direction at the speed of $4 \mathrm{m}/\mathrm{s}$ in $10$ seconds, what is the length of the train?