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
In what time will a train 100 metres long cross an electric pole, if its speed be 144 km/hr ?
- (a)
2.5 seconds
- (b)
4.25 seconds
- (c)
5 seconds
- (d)
12.5 seconds
A train 280 m long, running with a speed of 63 km / hr will pass a tree in :
- (a)
15 sec
- (b)
16 sec
- (c)
18 sec
- (d)
20 sec
How long does a train 110 metres long running at the speed of 72 km / hr take to cross a bridge 132 metres in length ?
- (a)
9.8 sec
- (b)
12.1 sec
- (c)
12.42 sec
- (d)
14.3 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 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
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 train crosses a platform 100 m long in 60 seconds at a speed of 45 km / hr. The time taken by the train to cross an electric pole is :
- (a)
8 sec
- (b)
52 sec
- (c)
1 minute
- (d)
None of these
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 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
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
- (a)
72 sec
- (b)
132 sec
- (c)
192 sec
- (d)
252 sec
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 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 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
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 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 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 X starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m. while another train Y starts from Ghaziabad at 4 p.m. and reaches Meerut at 5.30 p.m. The two trains will cross each other at :
- (a)
4.36 p.m.
- (b)
4.42 p.m.
- (c)
4.48 p.m.
- (d)
4.50 p.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
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
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 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
What was the length of a running train crossing another 180 metres long train running in the opposite direction?
I. The relative speed of the two trains was 150 kmph.
II. The trains took 9 seconds to cross each other.
- (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 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.
How many time will the train A take to cross another train B running in opposite direction?
I. Train A crosses a signal pole in 6 seconds.
II. Ratio of the speeds of trians A and B is 3:2.
III. Length of the two trains together is 500 metres.
- (a)
I only
- (b)
II only
- (c)
III only
- (d)
I or II only
- (e)
Question cannot be answered even with the 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.