Problems on Trains

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

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:

Two trains $150 \mathrm{m} \& 120 \mathrm{m}$ long respectively moving from opposite directions cross each other in $10 \mathrm{s}$. If the speed of the second train is $43.2 \mathrm{kmph}$, then the speed of the first train is _____

If $1 + 10 + {10}^2 + .............$ upto $n$ terms$=\frac{{10}^n-1}{9}$, then the sum of the series $4 + 44 + 444 + .........$ upto $n$ term is _____.

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?

The time taken by a train to cross a man travelling in another train is $10$ seconds, when the other train is travelling in the opposite direction. However, it takes $20$ seconds, if both the trains are travelling in the same direction. The length of the first train is $200 \mathrm{m}$ and that of the second train is $150 \mathrm{m}$. What is the speed of the first train?

Train ‘A' running at a speed of $108 \mathrm{km}/\mathrm{hr}$  crosses a pole in $8$ seconds. Find the time taken by train 'A' to cross train 'B' whose length is $130$ metres less than that of train A and whose speed is $1/3\mathrm{rd}$ more than that of train 'A' if both are running in opposite directions?

Train A and Train B of lengths $140$ metres and $160$ metres respectively can cross each other in $30$seconds and $5$ seconds while moving in same and opposite directions respectively. Find the distance travelled by the train A in$7$ hours $30$minutes, if the speed of train A is more than that of train B

Train P can cross a pole and a platform $320$ metres long in $11$ seconds and $27$ seconds, respectively. Train P can cross train Q, moving in the opposite direction in $9$ seconds. Find the speed of train Q if its length is $35$ metres less than that of train P

There are two trains. The first train crosses a pole in $24$ sec, and the second train of the same length as the first train crosses a platform in $30$ sec, but the speed of the second train is $20\%$ more than the first train. Find out the ratio of the length of the train and the length of the platform

A train takes $18$ seconds to cross a platform while running at $25 \mathrm{km}/\mathrm{hr}$, and it takes $12$ seconds to pass a man walking at $5 \mathrm{km}/\mathrm{hr}$ in the opposite direction. Length of the train in how much more than the length of the platform (in m)?

The ratio of the speed of train A and train B is $3:2$. Train A  crosses a platform of equal length in $54$ seconds and train B crosses the pole in $18$ seconds. The length of train A is what percent more than that of the length of train B?

If one train runs $35 \mathrm{km}/\mathrm{h}$ in North direction and other train runs in same direction with $40 \mathrm{km}/\mathrm{h}$. First train runs $30$ minutes earlier than second one. Length of each train is $100 \mathrm{m}$. Then, in how much time second train will meet to first one?

How much time does a train take to cover a distance of $507 \mathrm{km}$ between New Delhi and Lucknow if average speed of the train is $72 \mathrm{km}/\mathrm{hr}$. 

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:

$24 \mathrm{km}/\mathrm{hr}=\mathrm{\_\_\_\_\_} \mathrm{m}/\mathrm{s}$