Quantitative Aptitude - Problems on Trains
Exam Duration: 45 Mins Total Questions : 30
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 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
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
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 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 ?
- (a)
120 m
- (b)
240 m
- (c)
300 m
- (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 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
- (a)
5 sec
- (b)
6 sec
- (c)
7 sec
- (d)
10 sec
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 X speeding with 120 kmph croses another train Y, running in the same direction, in 2 minutes. If the lengths of the trains X and Y be 100 m and 200 m respectively, what is the speed of train Y ?
- (a)
111 km / hr
- (b)
123 km / hr
- (c)
127 km / hr
- (d)
129 km / hr
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 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 150 m long pases a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds. The speed of the second train is :
- (a)
60 km / hr
- (b)
66 km / hr
- (c)
72 km / hr
- (d)
99 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 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.
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 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
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 signal pole in 18 seconds.
II. The train crosses a platform of equal length in 36 seconds.
III. Length of the train is 330 metres.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
III and either I or II only
- (e)
Any two of three
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.
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.