Problems on Trains

A train's average speed without any stoppage is $50\mathrm{kmph}$. And its average speed with stoppage is $40 \mathrm{kmph}.$ On average how many minutes does the train stop in an hour?

The distance between two places P and Q is $900 \mathrm{km}$. A train departs from P at $7\mathrm{a}.\mathrm{m}$ with $60 \mathrm{km}/\mathrm{hr}$ And another train departs from Q at $8\mathrm{a}.\mathrm{m}$ With the speed of $70 \mathrm{km}/\mathrm{h}$. When are they going to meet?

Two trains depart at the same time from Hyderabad and Bangalore. Their travelling speed are $70$ and $85$ Kilometers per hour, respectively. After meeting each other, it is discovered that one train has travelled $150$ Kilometres further than the other. Find out how far it is from Bangalore to Hyderabad.

In $20 \mathrm{second},$ A train running at $50 \mathrm{km}/\mathrm{h}$ Passes another train running in the same direction at $40 \mathrm{km}/\mathrm{hr}.$ What is the distance covered by first train crossing $2\mathrm{nd}$ Train?

A $120\mathrm{meter}$ Long train is travelling at a speed of $50\mathrm{km}/\mathrm{hr}.$ When will it pass a man who is travelling in a motorcycle at $25 \mathrm{km}/\mathrm{hr}$ In the opposite direction as the train.

Two trains are travelling at identical speeds opposite each other. Both trains has an identical length of $130 \mathrm{meters}.$ If they cross each other in$15\mathrm{second}$ . Find the speed of Both trains.

A boy in a train notices that another train containing goods and travelling opposite direction of boy's train passed him in $15\mathrm{seconds}.$ The speed of boy's train is $55\mathrm{km}/\mathrm{hr}.$ Determine the speed of a goods train that is $500\mathrm{m}$Long.

A train cross a platform in $40 \mathrm{second}$ And a boy in platform in $30 \mathrm{seconds}.$ The speed of the train is $81 \mathrm{km}/\mathrm{h}.$ Find the length of this platform?

A train, $140\mathrm{m}$, long can cross a bridge in $40\sec .$If the speed of a train is $27\mathrm{km}/\mathrm{hr}$ Then find the length of the bridge.

In $15$ Second, a $128\mathrm{m}$ Long train cross a man in Bicycle, speed of Bicycle is $15 \mathrm{km}/\mathrm{hr}$. Bicycle is running in He some direction of in which direction train is running. Find the speed of train?

Sumit was travelling from Delhi to Bhubaneshwar by Purushottam Express reached Bhubaneshwar $35$ hours late as compared to the actual arrival time of $8$ am IST. He found out that the train was running at a speed which was approximately $\frac{9}{23}$ of its actual speed because of a technical issue. What was the actual speed of the train?

Ravi and Manish are travelling in trains which are crossing in Opposite direction over a bridge. Ravi estimates that the train he is travelling in is $180$ m long while the train in which Manish is travelling is $360$ m long. Manish is travelling in an express train while Ravi is travelling in a passenger train and Ravi estimates that the ratio of speed of his train to that of Manish’s train is $1:4$ and Ravi’s train crosses Manish’s train in $12$ seconds. What will be the estimated speed with which Manish’s train is travelling?

Two trains of speed $60 \mathrm{km}/\mathrm{hr}$ and $70 \mathrm{km}/\mathrm{hr}$ are running in same direction in the parallel lines. Faster train crosses the slower train in $72 \sec$. If the length of the slower train is $120 \mathrm{m}$, find the length of the faster train.

Distance between two station is $80 \mathrm{km}$. A train of speed $40 \mathrm{km}/\mathrm{hr}$ stops at a station for $10 \min$ after travelling for an hour. It covers the remaining distance at an increased speed so that it can reach on time. Find the increase in speed.

Two train of speeds $70 \mathrm{km}/\mathrm{hr}$ and $80 \mathrm{km}/\mathrm{hr}$ are coming towards. Given that, slower train has started $1 \mathrm{hr}$ before the faster train. After, $20 \min$ they meet each other. Find the total distance.

Two trains of length $100 \mathrm{m}$ and $125 \mathrm{m}$ cross each other coming from opposite direction in $10 \sec$. If the longer train crosses a tree in $10 \sec$, find the speed of shorter train.

A train of length $125 \mathrm{m}$ crosses a post in $30 \sec$ and a platform in $60 \sec$. Find the length of the platform.

A train starts from Delhi to Mumbai with a speed 45 km/hour. At the same time, another train starts from Mumbai to Delhi. After passing each other if they take 4 hours 48 minutes and 3 hours and 20 minutes to reach Mumbai and Delhi respectively then what is the speed of the train starts from Mumbai?

Shatabdi express of length ‘a’ meter travelling at 72 kmph can cross an old man who is sitting on a platform in 20 seconds but at the speed of 144 kmph train crosses the platform in 32 seconds.

Quantity I: What is the length of the platform?

Quantity II: 800 meters

Train A leaves New York for Huston at 4:00 AM, Train B leaves from Huston to New York 30 min after train A and both trains meet each other at 7:30 AM. If distance between the two cities is ____ Km then speeds of the train A and train B should be ____ and _____ respectively.

Which of the following set of numbers satisfies the three blanks given in the question?

(a) 455, 70, 68  

(b) 466, 74, 69

(c) 812, 124, 126