This Article consist of most important questions of ” Problems on Trains Questions ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.

**Question : 1 ** Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively

in opposite directions on parallel tracks. The time (in seconds) which they take to cross

each other, is:

A.9

B. 9.6

C. 10

D. 10.8

**Show Answer**

**Correct Answer : ** D

**Explanation : **

Relative speed = (60 + 40) km/hr = (100 x 5/18) m/sec = (250/9) m/sec.

Distance covered in crossing each other = (140 + 160) m = 300 m.

Required time = 300 x (9/250) sec = (54/5) sec

= 10.8 sec.

**Question : 2 ** A 270 meters long train running at the speed of 120 kmph crosses another train running in

opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other

train?

A. 230 m

B. 240 m

C. 260 m

D. 320 m

**Show Answer**

**Correct Answer : ** A

**Explanation : **

Relative speed = (120 + 80) km/hr

= 200 x (5/18) m/sec

= 500/9 m/sec.

Let the length of the other train be x metres.

Then,

(x + 270)/9 = 500/9

x + 270 = 500

x = 230.

**Question : 3** 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 m

B. 240 m

C. 300 m

D. None of these

**Show Answer**

**Correct Answer : ** A

**Explanation : **

Speed = (54 x 5/18) m/sec = 15 m/sec.

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

Let the length of the platform be x metres.

Then,

(x + 300)/36 = 15

x + 300 = 540

x = 240 m.

**Question : 4 ** 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 sec

B. 18 sec

C. 36 sec

D. 72 sec

**Show Answer**

**Correct Answer : ** C

**Explanation : **

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

= 36 x (5/18) m/sec

= 10 m/sec.

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

Time taken = 360/10 = 36 sec

**Question : 5** A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

A. 230 m

B. 240 m

C. 260 m

D. 270 m

**Show Answer**

**Correct Answer : ** **D**

**Explanation : **

Speed = 72 x (5/18) = 20 m/sec. Time = 26 sec. Let the length of the train be x metres. Then, (x + 250)/26 = 20

x + 250 = 520

x = 270

**Question : 6 ** Two trains, each 100 m 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:

A.30 km/hr

B.45 km/hr

C.60 km/hr

D.75 km/hr

**Show Answer**

**Correct Answer : ** C

**Explanation : **

Let the speed of the slower train be x m/sec.

Then, speed of the faster train = 2x m/sec.

Relative speed = (x + 2x) m/sec = 3x m/sec.

(100 + 100)/ 8 = 3x

24x = 200

x = (25/3)

So, speed of the faster train = 530m/sec

= (50/3) x (18/5) km/hr

= 60 km/hr.

**Question : 7** 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 : 3

B. .3 : 2

C. 3 : 4

D. None of these

**Show Answer**

**Correct Answer : ** **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(x+ y)

27x + 17y = 23x + 23y

4x = 6y

x/y=3/2

**Question : 8 ** 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 sec

B. 89 sec

C. 100 sec

D. 150 sec

**Show Answer**

**Correct Answer : ** **B**

**Explanation : **

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

**Question : 9** 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 m

B. 225 m

C. 245 m

D. 250 m

**Show Answer**

**Correct Answer : ** C

**Explanation : **

Speed = (45 x 5/18)m/sec

= (25/2) m/sec.

Time = 30 sec.

Let the length of bridge be x metres.

Then,

(130 + x)/30 = 25/2

2(130 + x) = 750

x = 245 m.

**Question : 10** 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. 36

B. 45

C. 48

D. 49

**Show Answer**

**Correct Answer : ** C

**Explanation : **

Relative speed = (60+ 90) km/hr

= 150 x (5/18) m/sec = 125/3 m/sec.

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

Required time = 2000 x (3/125) sec = 48 sec.

**Question : 11** 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/hr

B. 50 km/hr

C. 54 km/hr

D. 55 km/hr

**Show Answer**

**Correct Answer : ** B

**Explanation : **

Speed of the train relative to man =

(125/10) m/sec =(25/2) m/sec.

= (25/2 x 18/5) km/hr = 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.

**Question : 12 ** A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140m long?

A. 40 sec

B. 42 sec

C. 45 sec

D. 48 sec

**Show Answer**

**Correct Answer : ** A

**Explanation : **

Formula for converting from km/hr to m/s: X km/hr = (X x 15/8) m/s.

Therefore, Speed = (45 x 5/18)m/sec = 25/2 m/sec.

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

**Question : 13 ** 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 metres

B. 180 metres

C. 324 metres

D. 150 metres

**Show Answer**

**Correct Answer : ** D

**Explanation : **

Speed= (60 x 5/18) m/sec = (50/3) m/sec.

Length of the train = (Speed x Time)

= (50/3 x 9) m = 150 m.

**Question : 14** 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 m

B. 72 m

C. 80 m

D. 82 m

**Show Answer**

**Correct Answer : ** A

**Explanation : **

Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 – 36) km/hr

= 10 x (5/18) m/sec

= 25/9 m/sec

(2x/36) = 25/9

2x = 100

x = 50

**Question : 15 ** How many seconds will a 500 meter long train take to cross a man walking with a speed

of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

A. 25

B. 30

C. 40

D. 45

**Show Answer**

**Correct Answer : ** B

**Explanation : **

Speed of the train relative to man= (63 – 3) km/hr

= 60 km/hr

= 60 x (15/8) m/sec

= (50/3) m/sec.

Time taken to pass the man = 500 x (30/50) sec

= 30 sec.