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Problems On Trains

How many seconds will a 500 metre 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?

Question: How many seconds will a 500 metre 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

Answer: Option B

Explanation:

Speed of the train relative to man = (63 – 3) km/hr
= 60 km/hr
= 60 x 5 m/sec
18
= 50 m/sec.
3
Time taken to pass the man
= 500 x 3 sec
50
= 30 sec.

How many seconds will a 500 metre 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? Read More »

Aptitude, Problems On Trains

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Question: A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
[A].

69.5 km/hr

[B].

70 km/hr

[C].

79 km/hr

[D].

79.2 km/hr

Answer: Option D

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 8         x = 8y
y
Now, x + 264 = y
20

8y + 264 = 20y

y = 22.

Speed = 22 m/sec = 22 x 18 km/hr = 79.2 km/hr.
5

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train? Read More »

Aptitude, Problems On Trains

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
[A].

50 m

[B].

150 m

[C].

200 m

[D].

Data inadequate

Answer: Option B

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 15         y = x .
y 15
x + 100 = x
25 15

15(x + 100) = 25x

15x + 1500 = 25x

1500 = 10x

x = 150 m.

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is: Read More »

Aptitude, Problems On Trains

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

Question: A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
[A].

320 m

[B].

350 m

[C].

650 m

[D].

Data inadequate

Answer: Option B

Explanation:

Speed = 300 m/sec = 50 m/sec.
18 3

Let the length of the platform be x metres.

Then, x + 300 = 50
39 3

3(x + 300) = 1950

x = 350 m.

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Read More »

Aptitude, Problems On Trains

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

Question: A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
[A].

130

[B].

360

[C].

500

[D].

540

Answer: Option C

Explanation:

Speed = 78 x 5 m/sec = 65 m/sec.
18 3

Time = 1 minute = 60 seconds.

Let the length of the tunnel be x metres.

Then, 800 + x = 65
60 3

3(800 + x) = 3900

x = 500.

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is: Read More »

Aptitude, Problems On Trains

A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

Question: A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
[A].

2.5 min

[B].

3 min

[C].

3.2 min

[D].

3.5 min

Answer: Option B

Explanation:

Total distance covered
= 7 + 1 miles
2 4
= 15 miles.
4
Time taken
= 15 hrs
4 x 75
= 1 hrs
20
= 1 x 60 min.
20
= 3 min.

A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges? Read More »

Aptitude, Problems On Trains

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:

Question:
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

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
x+ y

27x + 17y = 23x + 23y

4x = 6y

x = 3 .
y 2

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: Read More »

Aptitude, Problems On Trains

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:

Question:
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

Answer: Option 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) = 3x
8

24x = 200

x = 25 .
3
So, speed of the faster train = 50 m/sec
3
   = 50 x 18 km/hr
3 5

   = 60 km/hr.

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: Read More »

Aptitude, Problems On Trains

A 270 metres 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?

Question:
A 270 metres 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

Answer: Option A

Explanation:

Relative speed = (120 + 80) km/hr

   = 200 x 5 m/sec
18
   = 500 m/sec.
9

Let the length of the other train be x metres.

Then, x + 270 = 500
9 9

x + 270 = 500

x = 230.

A 270 metres 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? Read More »

Aptitude, Problems On Trains

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:

Question:
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

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 x 5 m/sec
18
   = 25 m/sec
9
2x = 25
36 9

2x = 100

x = 50.

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: Read More »

Aptitude, Problems On Trains