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 _____.

Sita sees her friends standing at a distance of $240 \mathrm{m}$ from his position. She increases her speed by $50\%$ and hence takes $20 \sec$ now to reach her.
(i) If she travels at the original speed, how much time will she take?
(ii) What was her original speed ?

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 _____ .

Two trains, one from Delhi to Patna and the other from Patna to Delhi start simultaneously. After they meet, the trains reach their destination after $16 \mathrm{hours}$ and $64 \mathrm{hours}$ respectively. What is the ratio of their speeds ?

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?

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 T leaves station X for station Y at $3$ pm. Train S, travelling at three-quarters of the speed of T, leaves Y for X at $4$ pm. The two trains pass each other at a station Z, where the distance between X and Z is three-fifths of that between X and Y. How many hours does train T take for its journey from X to Y?

There is a train of length $600 \mathrm{m}$and travelling with a speed of $48 \mathrm{km}/\mathrm{hr}$when it passes a pole A completely. At the same time a motorcycle starts from A and moves with the speed of $72 \mathrm{km}/\mathrm{hr}.$ When the motorcycle reaches the middle of the train, the train increases its speed by $25\%$ while the motorcycle decreases its speed by$8.33 \%$. How much distance will the motorcycle travel while passing the train completely?