A train 125 m long passes a man running at 5 km/hr

1. 👉   A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is  going, in 10 seconds. The speed of the train is:

1. A. 45 km/hr

2. B. 50 km/hr

3. C. 54 km/hr

4. D. 55 km/hr

1. 👉  Answer & Explanation:

   Relative Speed of Train respective to Man : (125 / 10) m/sec

   = 12.5 m/sec   [ As we Know to convert m/sec -> km/hr we must multiply with 18/5 ]

   = 12.5 x (18/5) km/hr

   = 45 km/hr

   Consider the spped of the train is X km/hr then Relative speed of Man will be X-5 km/hr

   So,   X - 5 = 45 

   X = 50 km/hr

1. 
   
2. Related Question:

1. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

1. A. 180 m
2. B. 200 m
3. C. 240 m
4. D. 320 m

1. Answer : C ( 240 m )

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1. 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
3. C. 11.5 sec
4. D. 12.5 sec

1. Answer : B ( 72 sec )

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

1. A. 36 sec
2. B. 38 sec
3. C. 44 sec
4. D. 52 sec

1. Answer : D ( 52 sec )

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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
4. D. 49

1. Answer : C ( 48 )

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1. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

1. A. 65 sec
2. B. 89 sec
3. C. 100 sec
4. D. 150 sec

1. Answer : B ( 89 sec )

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1. 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
2. B. 350 km
3. C. 270 km
4. D. 540 km

1. Answer : A ( 400 km )

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.