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 Problems on Trains Questions

Popular Latest Rated Important Formulae

FACTS  AND  FORMULAE  FOR  PROBLEMS  ON  TRAINS

 

 

1. a km/hr = [a x (5/18)] m/s.

 

2. a m/s = [a x (18/5)] km/hr.

 

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

 

4. Time taken by a train of length 1 metres to pass a stationary object of length b metres is the time taken by the train to cover (1 + b) metres.

 

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

 

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

 

7. If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then time taken by the trains to cross each other = (a+b)(u+v)sec.

 

8. 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+bu-vsec.

 

9. If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then (A's speed) : (B’s speed) = b:a

Q:

7 hrs after a goods train passed a station, another train travelling at a speed of 54 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 11 hours. What is the speed of the goods train?

A) 39.6 km/hr B) 49.5 km/hr
C) 33 km/hr D) 26.4 km/hr
 
Answer & Explanation Answer: C) 33 km/hr

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3 1654
Q:

Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N

A) 600 B) 700
C) 1300 D) 1500
 
Answer & Explanation Answer: C) 1300

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Q:

Excluding stoppages, the speed of a train is 120 kmph and including stoppages, it is 50 kmph. For how many minutes does the train stop per hour?

A) 25 B) 40
C) 35 D) 20
 
Answer & Explanation Answer: C) 35

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12 1483
Q:

Train A can cross a man in 8 sec and a 180 m long platform ‘P’ in 17 sec. If train A cross train B which is running in opposite direction at speed of 108 km/hr in 8 sec, then find time taken by train B to cross platform P? 

A) 16 sec B) 11 sec
C) 14 sec D) 12 sec
 
Answer & Explanation Answer: C) 14 sec

Explanation:

Let length of train A be ‘L’ m and speed be ‘V’ m/s

ATQ –

V =

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3 1442
Q:

To travel 432 km, an Express train takes 1 hour more than Duronto. If however, the speed of the Express train is increased by 50%, it takes 2 hours less than Duronto. What is the speed (in km/hr) of Duronto train?

A) 60 B) 54
C) 48 D) 72
 
Answer & Explanation Answer: B) 54

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4 1400
Q:

A train moves at the speed of 40 m/s and crosses a bridge of length 550 metres in 25 seconds. What is the length (in metres) of the train?

A) 400 B) 450
C) 480 D) 550
 
Answer & Explanation Answer: B) 450

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3 1388
Q:

A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

A) 1 km B) 600 m
C) 4.8 km D) 1.2 km
 
Answer & Explanation Answer:

Explanation:

Let length of platform be ‘y’metres.

Then, at the platform,Distance travelled = y + (length of train) = (y + 480)m

Then, Speed of train = (y + 480)m / (3x60) sec = (y+480)/180 ...(1)

Also, at the pole,Distance travelled = length of train = 480m

Then, Speed of train = 480m / 30sec = 16 m/s ...(2)

Equating eq.(1) & eq.(2), we get,

(y+480)/180 = 16(y+480) = 16 x 180 = 2880

y = 2880 –480 = 2400m or 2.4 km long platform.

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1 1353
Q:

A train travels 20% faster than a car. Both start from point A at the same time and reach point B, 180 km away at the same time. On the way the train takes 30 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

A) 56 B) 66
C) 72 D) 84
 
Answer & Explanation Answer: C) 72

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