# Practice Test -Problems on Trains

1. A train overtakes two persons walking long a railway track. The first one walks 4.5 km / hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 second respectively to overtake them. What is the speed of the train if both the persons a’- walking in the same direction as the train?

2. Two trains, each 100 m long, moving in opposite directions, cross each other in 8 second If one is moving twice as fast the other, then the speed of the faster train is:

3. A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is:

4.
A train 110 metres long is running with a speed of 60 kmph. In what time will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

5. A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train

6. Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same directions?

7. A train crosses a platform 100 m long in 60 seconds at a speed of 45 km 1 hr. The tire taken by the ‘train to cross an electric pole is:

8. A jogger running at 9 kuph alongside a railway track s 240 metres ahead of the engine of a 120 metre lung train running a 45 kmph in the same direction. In how much time will the train pass the joggers?

9. In what time will a train 100 metres long cross an electric pole, if its speed be 144 km/hrs?

10. Two trains are moving in opposite directions @ 60 km / hr and 90 km / hr. Their lengths are 1.10 km and M.9 km respectively. The time taken by the slower train to cross the faster train is seconds is:

Problems on Trains: Tricks to Find Accurate Solution Fast

Train problems are one of the most important concepts in the time distance portion listed in the Quantitative Aptitude exams. The train problems are little different as compared to the regular problems related to the motion of the objects. It happens just because of the finite size of the trains under consideration. Due to the defined length of the trains, various interesting concepts can be incorporated into the quantitative aptitude test questions. However, it may appear a little difficult for beginners to understand and solve these problems. Well, if you are also confused with problems on trains, we advise you to go through the details below:

Problems on trains:

Due to the considerably small size of the tiny vehicles like cars, we can consider them like point objects. But as trains used to have a larger size that is even comparable to the distances that they travel in routine, the length and size of the trains must be given an important focus while solving problems on trains. Below we have highlighted a few essential points about moving trains that you may need to understand to solve the questions fast:

• The overall distance traveled by train for crossing a certain person or poll is always equal to the overall length of the train.
• The average distance traveled by the moving train while crossing the platform is always equal to the sum of the length of the platform and length of the train under consideration.
• When we talk about two trains that are traveling in a direction opposite to each other with speeds V1 m/s and V2 m/s; their relative speeds must be the sum of the individual speeds of the trains. It can be given as (V1 + V2) m/s.
• When the problem defines two trains traveling in the same direction with different speeds as V1 m/s and V2 m/s with the condition that V1 > V2; the relative speed of these trains must be equal to the difference between individual speeds of the trains under consideration. It can be given as (V1 – V2) m/s.
• When two trains are having length X meters and Y meters are running in the opposite direction with speed V1 m/s and V2 m/s; the overall time taken y these trains for crossing each other can be defined as [(X + Y) / (V1 + V2)].
• When two trains are running in the same direction with length X and Y meters and speed V1 and V2; where V1 > V2; the time taken by the faster train for crossing the slower train can be given as [(X + Y) / (V1 - V2)].
• If two trains X and Y start running towards each other at the same instant of time from two different points A and B; after crossing each other somewhere in the middle of the journey, train X reaches at destination B within 1 second, and Y reaches the destination A within b seconds; then Train X Speed can be defined as b1/2: a1/2.

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• Career Aptitude Test (IT Companies)

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