Problems on Trains
Exam Duration: 45 Mins Total Questions : 30
A train travelling at a speed of 76 mph enters a tunnel \(3\frac{ 1 }{ 2 }\) miles long. The train is \(\frac{ 1 }{ 4 }\) mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ?
- (a)
2.5 min
- (b)
3 min
- (c)
3.2 min
- (d)
3.5 min
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 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 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
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
- (a)
25
- (b)
30
- (c)
40
- (d)
45
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
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 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
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train ?
- (a)
230 m
- (b)
240 m
- (c)
260 m
- (d)
320 m
- (e)
None of these
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 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
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 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 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 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 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
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 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.