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You are here:Open notes-->Interview-->Aptitude-Test--Problems-on-Trains--1

Aptitude Test :: Problems on Trains -1

How to study this subject


A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A.120 metresB.180 metres
C.324 metresD.150 metres

Answer: Option D

Explanation:

Speed=60 x5m/sec=50m/sec.
183
Length of the train = (Speed x Time) =50x 9m = 150 m.
3


2. 

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:

A.45 km/hrB.50 km/hr
C.54 km/hrD.55 km/hr

Answer: Option B

Explanation:

Speed of the train relative to man =125m/sec
10
   =25m/sec.
2
   =25x18km/hr
25

   = 45 km/hr.

Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.

 x - 5 = 45          x = 50 km/hr.



3. 

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A.200 mB.225 m
C.245 mD.250 m

Answer: Option C

Explanation:

Speed =45 x5m/sec=25m/sec.
182

Time = 30 sec.

Let the length of bridge be x metres.

Then,130 + x=25
302

 2(130 + x) = 750

 x = 245 m.



4. 

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A.1 : 3B.3 : 2
C.3 : 4D.None of these

Answer: Option B

Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27x metres,

and length of the second train = 17y metres.

27x + 17y= 23
xy

 27x + 17y = 23x + 23y

 4x = 6y

x=3.
y2



5. 

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?

A.120 mB.240 m
C.300 mD.None of these

Answer: Option B

Explanation:

Speed =54 x5m/sec = 15 m/sec.
18

Length of the train = (15 x 20)m = 300 m.

Let the length of the platform be x metres.

Then,x + 300= 15
36

 x + 300 = 540

 x = 240 m.


6. 

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

A.65 secB.89 sec
C.100 secD.150 sec

Answer: Option B

Explanation:

Speed =240m/sec = 10 m/sec.
24
 Required time =240 + 650sec = 89 sec.
10



7. 

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

A.50 mB.72 m
C.80 mD.82 m

Answer: Option A

Explanation:

Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 - 36) km/hr

   =10 x5m/sec
18
   =25m/sec
9
2x=25
369

 2x = 100

 x = 50.



8. 

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

A.40 secB.42 sec
C.45 secD.48 sec

Answer: Option A

Explanation:

Formula for converting from km/hr to m/s:   X km/hr =X x5m/s.
18
Therefore, Speed =45 x5m/sec=25m/sec.
182

Total distance to be covered = (360 + 140) m = 500 m.

Formula for finding Time =Distance
Speed
 Required time =500 x 2sec= 40 sec.
25



9. 

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:

A.36B.45
C.48D.49

Answer: Option C

Explanation:

Relative speed = (60+ 90) km/hr

   =150 x5m/sec
18
   =125m/sec.
3

Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.

Required time =2000 x3sec = 48 sec.
125



10. 

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

A.3.6 secB.18 sec
C.36 secD.72 sec

Answer: Option C

Explanation:

Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.

   =36 x5m/sec
18

   = 10 m/sec.

Distance to be covered = (240 + 120) m = 360 m.

 Time taken =360sec= 36 sec.
10


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