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 on parallel lines in the same direction at speeds of $40 \mathrm{kmph}$ and $20 \mathrm{kmph}$ respectively. The faster train crosses a man in the second trains in $36 \mathrm{seconds}$. The length of the faster train is _____.

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

Two trains are running in opposite direction with speeds $36 \mathrm{km}/\mathrm{hr}$ and $54 \mathrm{km}/\mathrm{hr}$. If the trains be of length $132 \mathrm{m}$ and $118 \mathrm{m}$ respectively, then in what time they will cross each other?

Two trains with their speeds in the ratio of $3:4$ are going in opposite directions along parallel tracks. If each takes $3 \sec .$  to cross a telegraph post, then the time taken by the train to cross each other completely will be _____.

A train $125$ m long passes a man, running at $5$ kmph in the same direction in which the train is going, in $10$ seconds. The speed of the train 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?

Two trains $4001$ and$1432$ are $120 \mathrm{km}$apart. Train $4001$ starts from A at$6 \mathrm{a}.\mathrm{m}$. and travels towards B at $45 \mathrm{km}/\mathrm{hr}$ another train starts from B at $7 \mathrm{a}.\mathrm{m}$. and travels towards A at a speed of $25 \mathrm{km}/\mathrm{hr}.$ At what time they meet?

Two men are running in the same direction with a speed of $6$ $\text{km}$ per hour and $7\frac{1}{2}$ $\text{km}$ per hour. A train running in the same direction crosses them in $5$seconds and $5\frac{1}{2}$ seconds respectively. The length and the speed of the train are _____ .

A boy travels $600$ km to his house partly by train and partly by car. He takes $8$ hours if he travels $120$ km by train and the rest by car. He takes $20$ minutes more if he travels $200$ km by train and rest by car. Find the speeds of the train and the car.

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 running at $54$ $\mathrm{km}/\mathrm{hr}$ takes $15 \sec$ to pass a platform. Next, it takes $12 \sec$ to pass a man walking at $6 \mathrm{km}/\mathrm{hr}$ in the same direction in which the train is going. Find the ratio between the length of the train and the length of the platform?

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:

There are two different roads between two cities. The first is 20 km longer than the second A car travels along the second road and covers the distance between the cities in $$3\frac { 1 }{ 2 } $$ hours. Another car travels 2 along the second road and covers the distance in $$2\frac { 1 }{ 2 } $$ hours. If the speed of the first car is 40 km/hr less than that of the second car, then what is the speed of faster car ?

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

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 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?

If the ratio of the speed of two trains is in the ratio of $2:1$ and they cross each other completely in $\frac{4}{5} \mathrm{minutes}$ in the same direction. If the length of the faster train is $200 \mathrm{meters}$ and the length of the slower train is $50\%$ of the faster train then find the speed of the slower train?