Trains(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

TRAINS MCQs

Problems On Trains

Total Questions : 842 | Page 6 of 85 pages

Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

2 : 3
4 : 3
6 : 7
9 : 16

Discuss Question

Answer: Option B. -> 4 : 3

Let us name the trains as A and B. Then,

(A's speed) : (B's speed) = b : a = 16 : 9 = 4 : 3.

Question 52.

Two trains are moving in opposite directions at 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:

48 sec
52 sec
58 sec
66 sec
None of these

Discuss Question

Answer: Option A. -> 48 sec
- Relative sped = (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 53.

Two trains 140 m and 160 m long run at the speed fo 60 k/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

7 sec
8.6 sec
10.8 sec
11 sec
None of these

Discuss Question

Answer: Option C. -> 10.8 sec
- 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 54.

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?

190
200
225
230
None of these

Discuss Question

Answer: Option D. -> 230
- Relative speed = (120 + 80) km/hr
[200 x 5/18] m/sec = [500/9] m/sec.
Let the length of the other tain be x metres.
Then, x + 270 / 9 = 500/9
⇔ x + 270 = 500
⇔ x = 230.

Question 55.

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:

45
50
60
80
None of these

Discuss Question

Answer: Option B. -> 50
- Let the length of each tain be x metres.
Then, distance covered = 2x metres.
Relaive speed = (46 - 36) km/hr = [10 x 5/18] m/sec = [25/9] m/sec.
∴ 2x/36 = 25/9
⇔ 2x = 100
⇔ x = 50.

Question 56.

A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is:

38 km/hr
40 km/hr
44 km/hr
50 km/hr
None of these

Discuss Question

Answer: Option D. -> 50 km/hr
- 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 kmph.
Then, relative speed = (x - 5) kmph.
∴ x - 5 = 45 or x = 50 kmph.

Question 57.

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?

3.6 sec
18 sec
36 sec
72 sec
None of these

Discuss Question

Answer: Option C. -> 36 sec
- Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr
= 36 x 5 m/sec 18
= 10 m/sec.
Distance to be covered = (240 + 120) m = 360 m
Time taken = 360 sec = 36 sec. 10

Question 58.

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?

230 m
240 m
260 m
320 m
None of these

Discuss Question

Answer: Option A. -> 230 m
- Relative speed = (120 + 80) km/hr
= 200 x 5 m/sec 18 = 500 m/sec. 9

Question 59.

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?

230 m
240 m
260 m
270 m
None of these

Discuss Question

Answer: Option D. -> 270 m
- Speed = 72 x 5 m/sec = 20 m/sec. 18
Time = 26 sec.
Let the length of the train be x metres.
Then, x + 250 = 20 26
x + 250 = 520
x = 270.

Question 60.

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:

30 km/hr
45 km/hr
60 km/hr
75 km/hr
None of these

Discuss Question

Answer: Option C. -> 60 km/hr
-  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.