Quantitative Aptitude - Problems on Trains
Exam Duration: 60 Mins Total Questions : 30
A trains moves with a speed of 108 kmph. Its speed in metres per second is :
- (a)
10.8
- (b)
18
- (c)
30
- (d)
38.8
A speed of 14 meters per second is the same as :
- (a)
28 km / hr
- (b)
46.6 km / hr
- (c)
50.4 km / hr
- (d)
70 km / hr
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 ?
- (a)
40 sec
- (b)
42 sec
- (c)
45 sec
- (d)
48 sec
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 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long ?
- (a)
65 sec
- (b)
89 sec
- (c)
100 sec
- (d)
150 sec
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 metres) is :
- (a)
130
- (b)
360
- (c)
500
- (d)
540
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 takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is :
- (a)
70 m
- (b)
80 m
- (c)
90 m
- (d)
100 m
A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
- (a)
3.6 sec
- (b)
18 sec
- (c)
36 sec
- (d)
72 sec
Two trains 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parellel tracks. The time (in seconds) which they take to cross each other, is :
- (a)
9
- (b)
9.6
- (c)
10
- (d)
10.8
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 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 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 :
- (a)
36
- (b)
45
- (c)
48
- (d)
49
A train 108 m long moving at a speed of 50 km / hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is
- (a)
48 km / hr
- (b)
54 km / hr
- (c)
66 km / hr
- (d)
82 km / hr
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is :
- (a)
80 m
- (b)
100 m
- (c)
120 m
- (d)
180 m
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
A train overtakes two persons who are walking in the sme direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 second respectively. The sength of train is :
- (a)
45 m
- (b)
50 m
- (c)
54 m
- (d)
72 m
A train ovetakes two persons walking along a railway track. The first one walks at 4.5 km / hr. The other one walks at 5.4 km/hr.The train needs 8.4 and 8.5 seconds respectively to overtake them. what is the speed of the train if both the persons are walking in the same direction as the train ?
- (a)
66 km / hr
- (b)
72 km / hr
- (c)
78 km / hr
- (d)
81 km / hr
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels toweards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet ?
- (a)
9 a.m.
- (b)
10 a.m.
- (c)
10.30 a.m.
- (d)
11 a.m.
A train running at a certain speed crosses a stationary engine in 20 seconds. To find out the speed of the train, which of the following information is necessary?
- (a)
Only the length of the train
- (b)
Only the length of the engine
- (c)
Either the length of the train or the length of the engine
- (d)
Both the length of the train and the length of the engine
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 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 is the length of a running train?
I. The train crosses a man in 9 seconds.
II. The train crosses a 240 metre long platform in 24 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 the train?
I. 280 metres long train crosses a signal pole in 18 seconds.
II. 280 metres long train crosses a platform in 45 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 another train running in the opposite direction in x seconds. What is the speed of the train?
I. Both the trains have the same length and are running at the same speed.
II. One train crosses a pole in 5 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 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
Each of teh questions given below consists of a question followed by three statemnets. You have to study the question and the statements and decide which of the satement(s) is/are necessary to answer the question.
What is the speed of the train?
I. The train crosses a tree in 13 seconds.
II. The train crosses a platform of length 250 mettres in 27 seconds.
II. The train crosses another train running in the same direction in 32 seconds.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
Any two of the three
- (e)
None of these
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.