Problems on Trains Practice Test Questions - Aptitude -- Free Practice

Question 1

Two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km/hr and 36 km/hr. The time of crossing each other, if they run in the opposite direction is __________ .

A

10 sec✓✗

B

62 sec✓✗

C

14 sec✓✗

D

12 sec✓✗

Explanation

The trains run in opposite directions, so the relative speed = 30 + 36 = 66 km/h = 66 × 518 = 18.33 m/s.
Total distance = 156.62 + 100 = 256.62 m.
Time = 256.62 ÷ 18.33 = 14 sec (approximately).

Question 2

How much time does a train 125 metres long running at 60 km/hr take to pass a pole?

A

6s✓✗

B

2.08s✓✗

C

7.5s✓✗

D

8s✓✗

Explanation

Speed = 60 km/hr = 60 × 518 = 503 m/s.
Time to pass a pole = 125 ÷ 503 = 125 × 350 = 7.5 seconds.

Question 3

If a train crosses a pole in 12 seconds while travelling at a speed of 45km/hr, then in how much time will the train cross a bridge of length 600m at same speed?

A

1 minute 20 seconds✓✗

B

60 seconds✓✗

C

40 seconds✓✗

D

45 seconds✓✗

Explanation

The speed = 45 km/hr = 12.5 m/s. The train crosses the pole in 12 seconds, so its length = 12.5 × 12 = 150 m.
The distance to cross the bridge = 150 + 600 = 750 m, so the time = 75012.5 = 60 seconds.

Question 4

A train passes a telegraph post in 8 seconds and a 264 m long bridge in 20 seconds. What is the length of the train

A

180 m✓✗

B

176 m✓✗

C

164 m✓✗

D

158 m✓✗

Explanation

Let the length of the train be L and its speed v. L = 8v (passing the post).
L + 264 = 20v, so 8v + 264 = 20v, v = 22 m/s.
L = 8 × 22 = 176 m.

Question 5

A train 120 m long passes a telegraph post in 6 seconds. Find the speed of the train.

A

60 km/hr✓✗

B

72.5 km/hr✓✗

C

80 km/hr✓✗

D

72 km/hr✓✗

Explanation

Speed = 1206 = 20 m/s = 20 × 185 = 72 km/hr.

Question 6

A train having length 150 m passes a platform of 550 m length. The time taken for it is 56 seconds. In how much time will this train take to pass the platform of 250 m length?

A

32 seconds✓✗

B

24 seconds✓✗

C

28 seconds✓✗

D

30 seconds✓✗

Explanation

The distance covered in passing the first platform = 150 + 550 = 700 m in 56 seconds, so the speed = 70056 = 12.5 m/s.
For the 250 m platform the distance = 150 + 250 = 400 m.
Time = 40012.5 = 32 seconds.

Question 7

A train passes a stationary pole in 8 seconds. The train also passes a 200 m long bridge in 28 seconds. What is the length and the speed of the train?

A

Length = 200m; Speed = 36 m/s✓✗

B

Length = 160m; Speed = 20 m/s✓✗

C

Length = 80m; Speed = 10 m/s✓✗

D

Length = 100m; Speed = 20 m/s✓✗

Explanation

Let the length of the train be L and its speed be v. L = 8v (passing the pole).
Passing the bridge: L + 200 = 28v, so 8v + 200 = 28v and v = 10 m/s.
L = 8 × 10 = 80 m.

Question 8

Stations A and B are 220 km apart. A train leaves towards station B with speed of 40 km/hr at 10 pm. Another train leaves towards station A from station B with speed of 50 km/hr at 11 pm. At what time both trains meet?

A

12 pm✓✗

B

2 am✓✗

C

1 am✓✗

D

1 pm✓✗

Explanation

By 11 pm the first train has covered 40 km, so the distance between the trains = 220 - 40 = 180 km.
They approach each other at 40 + 50 = 90 km/hr, so they meet after 18090 = 2 hours.
They meet at 11 pm + 2 hours = 1 am.

Question 9

Two trains A and B are moving in the same direction. A has speed of 8 km/h and B has speed of 13 km/h. What is relative speed of B with respect to A?

A

2.5 km/hr✓✗

B

5 km/hr✓✗

C

21 km/hr✓✗

D

10.5 km/hr✓✗

Explanation

Both trains move in the same direction, so the relative speed of B with respect to A = 13 - 8 = 5 km/hr.

Question 10

Two trains A and B start from Jammu and Chennai towards Chennai and Jammu, respectively. From the moment they pass each other, they take 24 hrs 30 minutes and 18 hrs to reach Chennai and Jammu, respectively. The train from Jammu is running at 120 km/hr. What is the speed of the train starting from Chennai?

A

150 km/hr✓✗

B

140 km/hr✓✗

C

165 km/hr✓✗

D

160 km/hr✓✗

Explanation

When two trains start from opposite ends and, after passing each other, take t₁ and t₂ hours to finish the journey, the ratio of their speeds = the square root of t₂ : the square root of t₁.
Speed of the Jammu train : speed of the Chennai train = the square root of 18 : the square root of 24.5 = 6 : 7.
The Chennai train's speed = 120 × 76 = 140 km/hr.

Question 11

Two trains A and B leave Kolkata for Sikkim at 8:00 pm and 8:30 pm respectively and run at 90 km/hr and 120 km/hr, respectively. At what distance from Kolkata, will the two trains meet?

A

450 kms✓✗

B

180 kms✓✗

C

150 kms✓✗

D

360 kms✓✗

Explanation

When train B starts at 8:30 pm, train A has covered 90 × 0.5 = 45 km.
B gains 120 - 90 = 30 km per hour, so B catches up after 4530 = 1.5 hours.
Distance from Kolkata = 120 × 1.5 = 180 km.

Question 12

Two trains 140 metres and 120 metres are running in the same direction with speeds 40 kmph and 60 kmph respectively. In what time will the faster train pass the slower one?

A

0.60 minutes✓✗

B

0.36 minutes✓✗

C

0.78 minutes✓✗

D

0.42 minutes✓✗

Explanation

The relative speed = 60 - 40 = 20 kmph = 20 × 518 = 509 m/s.
Distance to be covered = 140 + 120 = 260 m.
Time = 260 ÷ 509 = 260 × 950 = 46.8 seconds = 0.78 minutes.

Question 13

Two trains each of which is 100 m long moving in opposite direction to one another cross each other taking 8 seconds. If speed of one train is twice the speed of other
train find the speed of the faster train.

A

48 km/hr✓✗

B

30 km/hr✓✗

C

60 km/hr✓✗

D

40 km/hr✓✗

Explanation

The trains are 100 m each, so the distance covered in crossing = 200 m in 8 seconds. The relative speed = 2008 = 25 m/s = 25 × 185 = 90 km/hr.
The speeds are x and 2x, so 3x = 90 and x = 30, and the faster train's speed = 60 km/hr.

Question 14

A man walks with 3kmph speed in the direction of a train. How much time will a 500m long train take to overtake him at a speed of 63kmph?

A

42 seconds✓✗

B

30 seconds✓✗

C

50 seconds✓✗

D

36 seconds✓✗

Explanation

The train and the man move in the same direction, so the relative speed = 63 - 3 = 60 kmph = 60 × 518 = 503 m/s.
Time to overtake him = 500 ÷ 503 = 500 × 350 = 30 seconds.

Question 15

A train passes 60 meters long platform in 20 seconds & a man on the platform in 12 seconds. Find the speed of the train in km per hour.

A

36✓✗

B

24✓✗

C

54✓✗

D

27✓✗

Explanation

Let the length of the train be L metres. Passing the man takes 12 s, so the speed = L12.
Passing the 60 m platform takes 20 s: L + 6020 = L12, so 12L + 720 = 20L and L = 90 m.
Speed = 9012 = 7.5 m/s = 7.5 × 185 = 27 km/hr.

Question 16

Two trains enter a tunnel from opposite ends simultaneously. The speeds of the trains are 54 kmph and 72 kmph. After 30 seconds, the trains completely cross each other. After 20 more seconds, the slower train is just out of the tunnel. What is the length of the faster train?

A

200✓✗

B

300✓✗

C

500✓✗

D

250✓✗

Explanation

Combined speed=35 m/s. Crossing condition: T+L_slow+L_fast=35 × 30=1050. Slower-train-exits condition: T+L_slow=15 × 50=750. Subtracting gives L_fast=300.

Question 17

A train which travels at the uniform rate of 20 m per second leaves Madras for Arconum at 6:30 a.m. At what distance from Madras will it meet a train which leaves Arconum for Madras at 7:15 a.m. and travels one-fourth faster than the former, given the distance from Madras to Arconum is 162 km?

A

72 km.✓✗

B

90 km.✓✗

C

102 km.✓✗

D

None of these✓✗

Explanation

First train (72 km/hr) covers 54 km by 7:15am, leaving a 108 km gap. Second train travels at 90 km/hr. Combined speed 162 km/hr closes the gap in 40 minutes, during which the first train covers 48 km more, for a total of 54+48=102 km from Madras.

Question 18

An express train traveling at 72 km/hr crosses a goods train traveling at 45 km/hr in the opposite direction in half a minute. Alternatively, if the express train were to overtake the goods train (same direction, same speeds), how long will it take?

A

Cannot be determined✓✗

B

30 seconds✓✗

C

150 seconds✓✗

D

130 seconds✓✗

Explanation

Opposite-direction relative speed = 117 kmph = 32.5 m/s, so combined length = 32.5 × 30 = 975m. Overtaking relative speed = 27 kmph = 7.5 m/s, giving time = 9757.5 = 130 seconds.

Question 19

Two trains are running on parallel tracks in the same direction. Their lengths are equal and their speeds are 46 kmph and 36 kmph respectively. They cross each other in 36 seconds. Find their lengths.

A

80 m✓✗

B

72 m✓✗

C

50 m✓✗

D

None of these✓✗

Explanation

Relative speed = 10 kmph = 2.78 m/s. Combined length (2L) = 2.78 × 36=100 m, so each length L=50 m.

Question 20

Two trains are running in opposite directions on parallel tracks at speeds of 60 kmph and 40 kmph. Their lengths are 140 m and 160 m respectively. How long will they take to cross each other?

A

9 sec✓✗

B

9.6 sec✓✗

C

9.8 sec✓✗

D

10.8 sec✓✗

Explanation

Relative speed = 100 kmph = 27.78 m/s. Combined length = 300 m. Time = 30027.78 = 10.8 sec.

Question 21

The length of a train is 110 metres. It is running at the speed of 72 kmph. How much time will it take to cross a bridge 132 m in length?

A

9.8 sec✓✗

B

12.1 sec✓✗

C

12.42 sec✓✗

D

14 sec✓✗

Explanation

72 km/h=20 m/s. Total distance=110+132=242 m. Time=24220=12.1 sec.

Question 22

A train running at 54 kmph takes 20 seconds to cross a platform and 12 seconds to pass a trolley on the platform moving in the same direction at a speed of 6 kmph. Find the length of the train.

A

140 m✓✗

B

130 m✓✗

C

160 m✓✗

D

120 m✓✗

Explanation

Relative speed with respect to the trolley (same direction) = 54 - 6 = 48 kmph = 48 × 518 ≈ 13.33 m/s. Since the trolley is effectively a point object, the time to pass it (12 seconds) covers exactly the train's own length: Length = 13.33 × 12 ≈ 160 m.

Question 23

Two trains moving in same direction run at a speed of 60 km/hr and 40 km/hr respectively. If a man sitting in slow train is passed by the fast train in 10 seconds, then what is the length of the faster train?

A

53.2 m✓✗

B

55.6 m✓✗

C

150 m✓✗

D

200 m✓✗

Explanation

The faster train (60 km/hr) overtakes the slower one (40 km/hr). Relative speed = (60 – 40) × 518 = 5.56 m/s. Length of the faster train = Speed × Time = 5.56 × 10 = 55.6 m.

Question 24

Two trains P and Q move in same direction with a speed of 85 km/hr and 70 km/hr respectively. If train P is 120 m long and train Q is 240 m, then find taken by train P to cross the train Q?

A

24 sec✓✗

B

48 sec✓✗

C

84.5 sec✓✗

D

86.5 sec✓✗

Explanation

Since both trains move in the same direction, relative speed = (85 – 70) × 518 = 4.16 m/s. Distance = 120 + 240 = 360 m. Time = 3604.16 = 86.5 sec.

Question 25

Two trains A and B of 150 m and 300 m, run at speed of 65 km/hr and 80 km/hr respectively, in the direction opposite direction to each other. Find the time required to cross each other after the moment they met?

A

10 sec✓✗

B

11.17 sec✓✗

C

12.30 sec✓✗

D

13.11 sec✓✗

Explanation

Since both trains move opposite to each other, relative speed = (65 + 80) × 518 = 40.27 m/s. Distance = 150 + 300 = 450 m. Time = 45040.27 = 11.17 sec.