Problem on Trains Tricks, Formula and Question

Objective Problems on Train Based Math Question

1. 
   

   175 m long train crosses another train of length 100 m in 15 sec, running in same direction. If the speed of the first train is 90 km/hr, then find the speed of the second train (in km/hr)?

1. A. 35 km/hr     
2. B. 42 km/hr      
3. C. 24 km/hr        Correct Answer
4. D. 30 km/hr      

2.  

   
   

   Two trains A and B of same length running in same direction with a speed of 36 km/hr and 54 km/hr respectively can cross each other in how many seconds if train A crosses a standing man in 12 seconds?

1. A. 36 seconds     
2. B. 24 seconds      
3. C. 52 seconds      
4. D. 48 seconds        Correct Answer

3.  

   
   

   Two trains cross each other. The length of each train is 200 meter. When they cross each other in same direction they take 45 seconds while in opposite direction they cross each in 12 seconds. Then find the speed of the two trains in km/hr?

1. A. 54 km/hr, 66 km/hr     
2. B. 76 km/hr, 44 km/hr        Correct Answer
3. C. 60 km/hr, 54 km/hr      
4. D. 72 km/hr, 35 km/hr      

4.  

   
   

   Train A crosses a pole in 25 seconds and Train B crosses the same pole in 40 seconds. The length of Train A is half the length of Train B. What is the ratio of the speed of Train A to that of Train B?

1. A. 4 : 5       Correct Answer
2. B. 6 : 7      
3. C. 3 : 4      
4. D. 2 : 5      

5.  

   
   

   Two Stations A and B are 525 km apart. A train leaves station A from station B and at the same time another train leaves station B to A. Both the trains meet 5 hours after they start moving. If the train starts from station A is 15 km/hr faster than the other one, then find the ratio between the speeds of both the trains?

1. A. 4 : 7     
2. B. 3 : 5      
3. C. 4 : 3        Correct Answer
4. D. 5 : 9      

6.  

   
   

   The distance between Chennai to Covai is 820 km. Sadhapti express starts from Chennai to Covai at 72 km/hr. 50 minutes later Mangalore express leaves Covai to Chennai on the parallel tracks at 80 km/hr. How far from Covai will they cross each other?

1. A. 400 km       Correct Answer
2. B. 350 km      
3. C. 270 km      
4. D. 540 km      

7.  

   
   

   Two trains having equal lengths, take 1/3 minutes and 1/5 minutes respectively to cross a post. If the length of each train is 300 meters, in what time (in seconds) will they cross each other when travelling in opposite direction?

1. A. 24 sec     
2. B. 18 sec      
3. C. 26 sec      
4. D. 15 sec        Correct Answer

8.  

   
   

   The train and a platform has equal length. The train running at the speed of 50 km/hr crosses the platform in 36 seconds. Find the length of the platform?

1. A. 180 m     
2. B. 250 m        Correct Answer
3. C. 200 m      
4. D. 150 m      

9. 

    

   
   

   
   

   Two trains running in opposite directions cross a man standing on the platform in 20 seconds and 15 seconds respectively and they cross each other in 18 seconds. Find the ratio of their speeds?

1. A. 4 : 3     
2. B. 3 : 2        Correct Answer
3. C. 5 : 3      
4. D. 7 : 5      

10.  

    
    

    Two trains are moving in opposite directions at 40 km/hr and 50 km/hr. Their lengths are 150 m and 200 m respectively. The time taken by the slower train to cross the faster train in seconds is?

1. A. 21 sec     
2. B. 27 sec      
3. C. 14 sec        Correct Answer
4. D. 32 sec      

11.  

    
    

    A train leaves Rampur at 2:15 pm and travels at the rate of 50 kmph. Another train leaves Rajpur to Rampur at 1:35 pm and travels at the rate of 60 kmph. If the distance between Rajpur and Rampur is 590 km at what distance from Rampur will the two trains meet?

1. A. 200 km     
2. B. 300 km      
3. C. 250 km        Correct Answer
4. D. 225 km      

12.  

    
    

    Train A crosses the pole in 45 seconds and Train B crosses the same pole in 1min 10 seconds. The train A length is 2/5 of length of train B. What is the ratio of Speed of Train B to Train A?

1. A. 28:45     
2. B. 45:28        Correct Answer
3. C. 9:14      
4. D. 14:9      

13.  

    
    

    A train of length 150m crosses a pole in 3 seconds. How long will it take to cross a bridge of length 200m?

1. A. 9 sec     
2. B. 7 sec        Correct Answer
3. C. 6.5 sec      
4. D. 5 sec      

14.  

    
    

    The length of a train and a platform is equal. The train at the speed of 60 km/hr crosses the platform in 1 minute. What is the length of platform?

1. A. 500m       Correct Answer
2. B. 690m      
3. C. 660m      
4. D. 540m      

15.  

    
    

    Two trains having equal lengths, take 1/6 minutes and 1/4 minutes respectively to cross a post. If the length of each train is 300 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?

1. A. 14     
2. B. 16      
3. C. 15      
4. D. 12        Correct Answer

16.  

    
    

    The speed of two trains are in the ratio x:y. They are moving in the opposite directions on parallel tracks. The first train crossed a telegraph pole in "k" seconds where as the second train crossed the same telegraph pole in "p" second. Find the time taken by the trains to cross each other completely.

1. A. (xp + yk)/(x+y) sec     
2. B. (xk + yp)/(x - y) sec      
3. C. (xk + yp)/(x+ y)sec        Correct Answer
4. D. (xp + yk)/(x-y) sec      

17.  

    
    

    A train travels at the speed of 65 kmph and halts at 8 junctions for a certain time. It covers a distance of 1300 km in 1 day (24 hours). How long does the train stop at each junction, if it halts for the same period time at all the junction?

1. A. 30 minutes       Correct Answer
2. B. 20 minutes      
3. C. 60 minutes      
4. D. 40 minutes      

18.  

    
    

    How many seconds will a train 60 m in length, travelling at the rate of 42 kmph, take to pass another train 84 m long, proceeding in the same direction at the rate of 30 kmph?

1. A. 41.2 seconds     
2. B. 43.2 seconds        Correct Answer
3. C. 42.3 seconds      
4. D. 42.5 seconds      

19.  

    
    

    The distance between Meerut and Allahabad is 700 km. Sangamnagri express starts from Allahabad to Meerut at 60 kmph. 50 minutes later Ganga express leaves Meerut to Allahabad on the parallel tracks at 70 kmph. How far from Meerut will they cross each other?

1. A. 250 km     
2. B. 360 km      
3. C. 350 km        Correct Answer
4. D. 475 km      

20.  

    
    

    The two trains of lengths 400m, 600m respectively, running at same directions. The faster train can cross the slower train in 180sec, the speed of the slower train is 48km/hr. Then find the speed of the faster train?

1. A. 58 Km/hr     
2. B. 68 Km/hr        Correct Answer
3. C. 78 Km/hr      
4. D. 55 Km/hr      

21.  

    
    

    Two trains are running at 60 Kmph and 42 Kmph respectively in same direction. Fast train completely passes a man sitting in the slower train in 30sec. What is the length of the faster train?

1. A. 100m     
2. B. 125m      
3. C. 150m        Correct Answer
4. D. 175m      

22.  

    
    

    Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 350 m and 200 m respectively. The time taken by the slower train to cross the faster train in seconds is:

1. A. 8 sec     
2. B. 4 sec      
3. C. 2 sec        Correct Answer
4. D. 6 sec      

23.  

    
    

    A train covers a distance between stations R & S in 45 minutes. If the speed is reduced by 5 kmph. It will cover the same distance in 48 minutes. What is the distance between two stations R &S (in km)? Also find the speed of the train.

1. A. 60 km, 80 kmph       Correct Answer
2. B. 65 km, 70 kmph      
3. C. 60 km, 70 kmph      
4. D. 65 km, 80 kmph      

24.  

    
    

    The length of Mumbai mail is 120 m and that of Punjab mail is 80 m. These two trains are running in the same direction with velocities of 40 kmph and 50 kmph respectively. The time taken by them to cross each other is:

1. A. 8 sec     
2. B. 72 sec        Correct Answer
3. C. 11.5 sec      
4. D. 12.5 sec      

25.  

    
    

    A train overtakes two persons who are walking in the same directions in which the train is going, at the rate of 2kmph and 4 kmph respectively and passed them completely in 9 and 10 seconds respectively. The length of the train is?

1. A. 50 m       Correct Answer
2. B. 60 m      
3. C. 65 m      
4. D. 70 m      

Problem on Train Question and Formula

Basics Of Problems on Train 

km/hr to m/s conversion:

a km/hr =   a x    (5 / 18) m/s.

m/s to km/hr conversion:

a m/s =   a x    (18 / 5)    km/hr.

Time taken by a train of length l metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l metres.

Time taken by a train of length l metres to pass a stationery object of length b metres is the time taken by the train to cover (l + b) metres.

Suppose two trains or two objects bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relative speed is = (u - v) m/s.

Suppose two trains or two objects bodies are moving in opposite directions at u m/s and v m/s, then their relative speed is = (u + v) m/s.

If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then:

The time taken by the trains to cross each other =    (a + b)/(u + v)    sec.

If two trains of length a metres and b metres are moving in the same direction at u m/s and v m/s, then:

The time taken by the faster train to cross the slower train =    (a + b)/(u - v)    sec.

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Objective Question on Problems On Train

1. 
   

   Two trains are moving in opposite directions @60 Km/hr and 90 Km/hr. Their Lengths are 1.10 km and 0.9 Km respectively. The time taken by the slower train to cross the faster train in seconds is :

1. A. 36     
2. B. 45      
3. C. 48        Correct Answer
4. D. 49      

2.  

   
   

   Two trains are running  in opposite directions with the same speed. If the length of each train is 120 metre and they cross each other in 12 seconds, then the speed of each train ( in Km/hr ) is : 

1. A. 10 Km/hr     
2. B. 18 Km/hr      
3. C. 36 Km/hr        Correct Answer
4. D. 72 Km/hr      

3.  

   
   

   Two trains of equal lengths take 10 Seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metre, in what time  ( in Seconds ) will they cross each other travelling in opposite direction?

1. A. 10     
2. B. 12        Correct Answer
3. C. 15      
4. D. 20      

4.  

   
   

   A train 108 meter long moving at the speed of 60 Km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train ? 

1. A. 48 km/hr     
2. B. 54 km/hr      
3. C. 66 km/hr      
4. D. 82 km/hr        Correct Answer

5.  

   
   

   A train X speeding with 120 kmph crosses another train Y, running in the same direction, in 2 minute. If the lengths of the train X and Y be 100 m and 200 m respectively. What is the speed of train Y?

1. A. 111 Km/hr       Correct Answer
2. B. 123 Km/hr      
3. C. 127 Km/hr      
4. D. 129 Km/hr      

6.  

   
   

   Two trains, each 100 metre long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other , then the speed of the faster train is?

1. A. 30 Km/hr     
2. B. 45 Km/hr      
3. C. 60 Km/hr        Correct Answer
4. D. 75 Km/hr      

7.  

   
   

   A train 150 m long passes a Km stone in 15 seconds and another train of the same length travelling in opposite directions in 8 seconds. The speed of the second train is? 

1. A. 60 Km/hr     
2. B. 66 Km/hr      
3. C. 72 Km/hr      
4. D. 99 Km/hr        Correct Answer

8.  

   
   

   A train X starts from Meerut at 4 pm and reaches Ghaziabad at 5 PM. While another train Y starts from Ghaziabad at 4 PM and reaches Meerut at 5.30 PM. The two train will cross each other at :

1. A. 4.36 PM       Correct Answer
2. B. 4.42 PM      
3. C. 4.48 PM      
4. D. 4.50 PM      
5.