Trains(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

TRAINS MCQs

Problems On Trains

Total Questions : 842 | Page 8 of 85 pages

Question 71.

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

200 m
225 m
245 m
250 m
None of these

Discuss Question

Answer: Option C. -> 245 m
- Speed = 45 x 5 m/sec = 25 m/sec. 18 2
Time = 30 sec.
Let the length of bridge be x metres.
Then, 130 + x = 25 30 2
2(130 + x) = 750
x = 245 m.

Question 72.

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:

1 : 3
3 : 4
3 : 2
Data inadequate
None of these

Discuss Question

Answer: Option C. -> 3 : 2
- 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

Question 73.

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?

120 m
240 m
300 m
Data inadequate
None of these

Discuss Question

Answer: Option B. -> 240 m
- Speed = 54 x 5 m/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.

Question 74.

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

65 sec
89 sec
100 sec
150 sec
None of these

Discuss Question

Answer: Option B. -> 89 sec
- Speed = 240 m/sec = 10 m/sec. 24
Required time = 240 + 650 sec = 89 sec. 10

Question 75.

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:

50 m
72 m
80 m
82 m
None of these

Discuss Question

Answer: Option A. -> 50 m
- 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.

Question 76.

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?

40 sec
42 sec
45 sec
48 sec
None of these

Discuss Question

Answer: Option A. -> 40 sec
- Formula for converting from km/hr to m/s: X km/hr = X x 5 m/s. 18
Therefore, Speed = 45 x 5 m/sec = 25 m/sec. 18 2 Total distance to be covered = (360 + 140) m = 500 m.
Formula for finding Time = Distance Speed
Required time = 500 x 2 sec = 40 sec. 25

Question 77.

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:

36 sec
45 sec
48 sec
49 sec
None of these

Discuss Question

Answer: Option C. -> 48 sec
-  Relative speed = (60+ 90) km/hr
   = 150 x 5 m/sec 18
   = 125 m/sec. 3 Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.
Required time = 2000 x 3 sec = 48 sec. 125

Question 78. A man sitting in a train is counting the pillars of electricity. The distance between two pillars is 60 meters, and the speed of the train is 42 km/hr. In 5 hours, how many pillars will he count?

3501
3600
3800
None of these

Discuss Question

Answer: Option A. -> 3501

Question 79. A 50 meter long train passes over a bridge at the speed of 30 km per hour. If it takes 36 seconds to cross the bridge, what is the length of the bridge?