In solving problems on trains, the following points should be kept in mind. Time taken by a train to cross a pole (or Signal post or, a standing man)
Time taken by a train to cross a bridge (or tunnel or a train at rest or a platform)
Time taken by a train to cross a moving object
where L1 and V1 are the length and speed of the train and L2 and V2 are the length and speed of the moving object.
1 . A train 300 m long is running with a speed
of 54 km/hr. In what time will it cross a telephone
pole?
Ans: Speed of the train = 54 x 5/18 m/s
= 15 m/s
Time taken to cross the pole
= 300/15 = 20 seconds
2 . A train 220 m long is running with a speed of 60 km/hr. In what time will it pass a man
who is running at 6 km/hr in the direction opposite
to that in which the train is going?
Ans: Time taken to pass the man
Ans:
3. Two trains 80 metres and 120 metres
long are running at the rates of 25 km/hr. and
35 km/hr. respectively on parallel rails. If they
are moving in same directions, how long will
they take to pass each other?
Ans:
1 . How long will it take for a train 120 m
long running at 40 km/hr. to cross a bridge 80
metres long?
1) 18 min 2) 18 seconds
3) 20 seconds 4) 19 seconds
2 . A train running at 50 m/s takes 30 seconds
to cross a platform of 800m. long. The
length of the train in metres is?
1) 900 2) 300
3) 550 4) 700
3 . A person standing on a platform of length
200 metres observed that a train takes 10
seconds to pass him, passed completely
through the platform in 30 seconds. Then the
length of the train is?
1) 100 metres 2) 150 metres
3) 80 metres 4) 105 metres
4 . A train running at uniform speed takes
54 seconds to pass a platform of 324 m. long
and 45 seconds to pass another platform of
240m. long. The length of the train in metres
is?
1) 180 2) 170
3) 190 4) 100
5 . A train 300 m long is running at a speed
of 68 km/hr. It will cross a man coming from
the opposite direction at a speed of 4km/hr.
in?
1) 30 seconds 2) 15 seconds
3) 3: 25 seconds 4) 21.6 seconds
6 . A train 240 metres long, takes 24 seconds
to cross a man running at 10 km/hr in
the same direction as the train. The speed of
the train is?
1) 32 km/hr 2) 46 km/hr
3) 38 km/hr 4) 24 km/hr
7 . A train crosses a platform in 60 seconds
travelling at a speed of 54 km/hr. If the length
of the platform is 500 metres, what is the length of the train ?
1) 400 m 2) 300 m
3) 450 m 4) 500 m
8 . A man running at 18 km/hr crosses a
bridge in 2 minutes. The length of the bridge
is ?
1) 1.2 km 2) 0.6 km
3) 1 km 4) 3.6 km
9 . A railway passenger counts the telegraph
posts on the line as he passes them. If they
are 50 m apart from each other and the train
is running at the rate of 48 km/hr. how many
posts will he pass per minute?
1) 16 2) 17
3) 18 4) 13
10. Two trains are running at 40 km/hr. and
20 km/hr. respectively in the same direction.
The faster train completely passes a man sitting
in the slower train in 5 seconds. What is
the length of the faster train ?
1) 23 2/9 m 2) 27 m
3) 27 7/9 m 4) 23 m
1 . (2) 2 . (4) 3 . (1) 4 . (1) 5 . (2) 6 . (2) 7 . (1) 8.(2) 9 . (2) 10. (3)
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