1.A train running at the speed of 60
km/hr crosses a pole in 9 seconds. What is the length of the train?
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Answer: Option D
Explanation:
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2.
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A train 125 m long passes a man,
running at 5 km/hr in the same direction in which the train is going, in 10
seconds. The speed of the train is:
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Answer: Option B
Explanation:
= 45 km/hr.
Let the speed of the train be x
km/hr. Then, relative speed = (x - 5) km/hr.
 x - 5 =
45 
x = 50 km/hr. |
3.
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The length of the bridge, which a
train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
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Answer: Option C
Explanation:
Time = 30 sec.
Let the length of bridge be x
metres.
2(130 + x) = 750x = 245
m. |
4.
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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:
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Answer: Option B
Explanation:
Let the speeds of the two trains
be x m/sec and y m/sec respectively.
Then, length of the first train =
27x metres,
and length of the second train =
17y metres.
27x + 17y = 23x + 23y4x = 6y
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5.
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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?
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Answer: Option B
Explanation:
Length of the train = (15 x 20)m =
300 m.
Let the length of the platform be x
metres.
x + 300 =
540x = 240
m. |
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6.
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A train 240 m long passes a pole
in 24 seconds. How long will it take to pass a platform 650 m long?
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Answer: Option B
Explanation:
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7.
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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:
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Answer: Option A
Explanation:
Let the length of each train be x
metres.
Then, distance covered = 2x
metres.
Relative speed = (46 - 36) km/hr
2x = 100x = 50. |
8.
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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?
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Answer: Option A
Explanation:
Total distance to be covered =
(360 + 140) m = 500 m.
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9.
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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:
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Answer: Option C
Explanation:
Relative speed = (60+ 90) km/hr
Distance covered = (1.10 + 0.9) km
= 2 km = 2000 m.
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10.
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A jogger running at 9 kmph
alongside a railway track in 240 metres ahead of the engine of a 120 metres
long train running at 45 kmph in the same direction. In how much time will
the train pass the jogger?
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Answer: Option C
Explanation:
Speed of train relative to jogger
= (45 - 9) km/hr = 36 km/hr.
= 10 m/sec.
Distance to be covered = (240 +
120) m = 360 m.
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11.
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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?
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Answer: Option A
Explanation:
Relative speed = (120 + 80) km/hr
Let the length of the other train
be x metres.
x + 270 =
500x = 230. |
12.
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A goods train runs at the speed of
72 kmph and crosses a 250 m long platform in 26 seconds. What is the length
of the goods train?
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Answer: Option D
Explanation:
Time = 26 sec.
Let the length of the train be x
metres.
x + 250 =
520x = 270. |
13.
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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:
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Answer: Option C
Explanation:
Let the speed of the slower train
be x m/sec.
Then, speed of the faster train =
2x m/sec.
Relative speed = (x + 2x)
m/sec = 3x m/sec.
24x = 200
= 60 km/hr.
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14.
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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
parallel tracks. The time (in seconds) which they take to cross each other,
is:
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Answer: Option D
Explanation:
Distance covered in crossing each
other = (140 + 160) m = 300 m.
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15.
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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?
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Answer: Option B
Explanation:
Speed of train relative to man =
(60 + 6) km/hr = 66 km/hr.
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16.
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A train travelling at a speed of
75 mph enters a tunnel 3
 miles long. The
train is  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? |
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Answer: Option B
Explanation:
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17.
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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 meters) is:
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Answer: Option C
Explanation:
Time = 1 minute = 60 seconds.
Let the length of the tunnel be x
metres.
3(800 + x) = 3900x = 500. |
18.
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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?
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Answer: Option B
Explanation:
Let the length of the platform be x
metres.
3(x + 300) = 1950x = 350
m. |
19.
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A train speeds past a pole in 15
seconds and a platform 100 m long in 25 seconds. Its length is:
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Answer: Option B
Explanation:
Let the length of the train be x
metres and its speed by y m/sec.
15(x + 100) = 25x15x + 1500 = 25x1500 = 10xx = 150
m. |
20.
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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?
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Answer: Option D
Explanation:
Let the length of the train be x
metres and its speed by y m/sec.
8y + 264 = 20yy = 22.
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21.
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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?
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Answer: Option B
Explanation:
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22.
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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.
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Answer: Option B
Explanation:
We have to find the time taken by
the slower train to pass the DRIVER of the faster train and not the complete
train.
So, distance covered = Length of
the slower train.
Therefore, Distance covered = 500
m.
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23.
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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:
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Answer: Option C
Explanation:
Let the speed of each train be x
m/sec.
Then, relative speed of the two
trains = 2x m/sec.
2x = 20x = 10.
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24.
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Two trains of equal lengths take
10 seconds and 15 seconds respectively to cross a telegraph post. If the
length of each train be 120 metres, in what time (in seconds) will they cross
each other travelling in opposite direction?
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Answer: Option B
Explanation:
Relative speed = (12 + 8) = 20
m/sec.
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25.
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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:
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Answer: Option D
Explanation:
Let the speed of the second train
be x km/hr.
Distance covered = (108 + 112) =
220 m.
250 + 5x = 660x = 82
km/hr. |
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26.
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Two trains are running at 40 km/hr
and 20 km/hr respectively in the same direction. Fast train completely passes
a man sitting in the slower train in 5 seconds. What is the length of the
fast train?
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27.
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A train overtakes two persons who
are walking in the same direction in which the train is going, at the rate of
2 kmph and 4 kmph and passes them completely in 9 and 10 seconds
respectively. The length of the train is:
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28.
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A train overtakes 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?
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29.
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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
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31.
30.
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Two stations A and B are 110 km
apart on a straight line. One train starts from A at 7 a.m. and travels
towards 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?
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| 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: |
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