Quantitative Aptitude - Problems on Trains
Exam Duration: 45 Mins Total Questions : 30
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)
cannot be determined
- (e)
None of these
A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train.
- (a)
70 km / hr
- (b)
72 km / hr
- (c)
79.2 km / hr
- (d)
80 km / hr
A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph pos, them the length of the train is:
- (a)
90 m
- (b)
100 m
- (c)
120 m
- (d)
140 m
The length of the bridge, which a train 130 metres long and travellin at 45 km / hr can cross in 30 seconds, is :
- (a)
200 m
- (b)
225 m
- (c)
245 m
- (d)
250 m
The length of a train and that of a platform are equal. If with a speed of 90 km / hr, the train crosses the platform in one minute, then the length of the train (in metres) is :
- (a)
500
- (b)
600
- (c)
750
- (d)
900
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km / hr ?
- (a)
13.33
- (b)
26.67
- (c)
40
- (d)
66.67
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
- (e)
None of these
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 second. Its length is :
- (a)
50 m
- (b)
150 m
- (c)
200 m
- (d)
Data inadaquate
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
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 :
- (a)
40 km / hr
- (b)
50 km / hr
- (c)
54 km / hr
- (d)
55 km / hr
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km / hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
- (a)
12 sec
- (b)
24 sec
- (c)
48 sec
- (d)
60 sec
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
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km / hr) is :
- (a)
10
- (b)
18
- (c)
36
- (d)
72
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be120 metres, in what time (in seconds) will they cross each other travelling in opposite direction ?
- (a)
10
- (b)
12
- (c)
15
- (d)
20
Two trains are running a 40 km / hr and 20 km / hr respectively in the same direction. Fast train completely passes a man sitting in the lower train in 5 seconds. What is the length of the fast train ?
- (a)
23 m
- (b)
\(23\frac{ 2 }{ 9 }\)m
- (c)
27 m
- (d)
\(27\frac{ 7 }{ 9 }\)m
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
A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is :
- (a)
400 m
- (b)
450 m
- (c)
560 m
- (d)
600 m
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
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 :
- (a)
2 : 3
- (b)
4 : 3
- (c)
6 : 7
- (d)
9 : 16
A train running at acertain speed crosses another train running in the opposite direction in 4.8 seconds. To find out the speed of the first train, which of the following information P and Q is sufficient?
P: The length of the first train Q: The length of the second train
- (a)
Only P is sufficient
- (b)
Only Q is sufficient
- (c)
Either P or Q is sufficient
- (d)
Both P and Q are needed
- (e)
Both P and Q are not sufficient
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
A train crosses a signal post in x seconds. What is the length of the train?
I. The train crosses a platform of 100 metres in y seconds.
II. The train is running at the speed of 80 km/hr.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What was the speed of the running train?
I. Length of the train was 120 metres.
II. The train crossed the outer stationary train whose length was 180 m in 4 seconds.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What is the speed of a running train which takes 9 seconds to cross a signal post?
I. The length of the train is 90 metres.
II. The train takes 27 seconds to cross a platform of 180 metres.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What was the speed of a running train X?
I. The relative speed of train X and another train Y running in opposite direction is 160 kmph.
II. the train Y crosses a signal post in 9 seconds.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
A train crosses a pole in 10 seconds. What is the length of the train?
I. The train crosses another train running inopposite direction with a spped of 80 km/hr in 22 seconds.
II. The speed of the train is 108 km/hr.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
Each of the questions given below consists of a statement and/ or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statement
What is the speed of the train whose length is 210 metres?
I. The train crosses another train of 300 metres length running in opposite direction in 10 seconds.
II. The train crosses another train running in the same direction at the speed of 60 km/hr in 30 seconds.
- (a)
if the data in statement I alone arte sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
- (b)
if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
- (c)
if the data either in statement I or in statements II alone are sufficient to answer the question
- (d)
if the data even in both statement I and II together are not sufficient to answer the question
- (e)
if the data in both statements I and II together are necessary to answer the question
What is the length of the train X ?
I. Train X crosses a telegraph post in 20 seconds.
II. Train X crosses a platform of length 800 m in 100 seconds.
III. Train X passes through a tunnel 400 m long in 60 seconds.
- (a)
I and either II or III only
- (b)
II and III only
- (c)
II and either I or III only
- (d)
III and either I or II only
- (e)
Any two of the three.
What is the speed of the train?
I. The train passes a man walking at the rate of 3 kmph in 9 seconds.
II. The train passes a man walking at the rate of 6 kmph in 10 seconds.
III. The train is moving in the same direction in which the two men are moving.
- (a)
I and III only
- (b)
II and III only
- (c)
I and II only
- (d)
All I, II and III
- (e)
Question cannot be answered even with information in all the three ststements.
What is the length of a running train P crossing another running train Q?
I. These two trains take 18 seconds to cross each other.
II. These trains are running in opposite directions.
III. The length of train Q is 180 metres.
- (a)
I only
- (b)
II only
- (c)
III only
- (d)
All I,II and III are required
- (e)
Even with I, II and III, the answer can not be obtained.
At what time will the train reach city X from city Y?
I. The train crosses another train of equal length of 200 metres and running in opposite direction in 15 seconds.
II. The train leaves city Y at 7.15 a.m. for city X situated at a distance of 558 km.
III. The 200 metres long train crosses a signal pole in 10 seconds.
- (a)
I only
- (b)
II only
- (c)
III only
- (d)
I or III only
- (e)
All I, II and III are required.