1.
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
• C.
40
• B.
26.67
• D.
66.67
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Explanation :

Speed =
 150 + 300 40.5
m/sec =
 450 40.5
x
 18 5
km/hr = 40 km/hr.

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2.
A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
• A.
3.6 sec
• C.
36 sec
• B.
18 sec
• D.
72 sec
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Explanation :

Speed of train relative to jogger = (45 � 9) km/hr = 36 km/hr

36 x
 5 18
m/sec = 10 m/sec.

Distance to be covered = (240 + 120) m = 360 m.

Time taken =
 360 10
sec = 36 sec.

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3.
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
• A.
400 m
• C.
500 m
• B.
450 m
• D.
600 m
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Explanation :

Let the length of the first train be x metres.

Then, the length of second train is
 x 2
metres.

Relative speed = (48 + 42) kmph =   90 x
 5 18
m/sec = 25 m/sec.

x +
 x 2

25
 = 12 or
 3x 2
 = 300 or x = 200.

Length of first train = 200 m.

Let the length of platform be y metres.

Speed of the first train =

48 x
 5 18
m/sec =
 40 3
m/sec.

(200 + y) x
 3 40
= 45 600 + 3y = 1800 y = 400 m.

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4.
A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is:
• A.
90 m
• C.
120 m
• B.
100 m
• D.
140 m
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Explanation :

Speed =
 12 10
x 60    km/hr =   72 x
 5 18
m/sec = 20 m/sec.

Length of the train = (Speed x Time) = (20 x 6) m = 120 m.

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5.
A train 360m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
• A.
40 sec
• C.
45 sec
• B.
42 sec
• D.
48 sec
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Explanation :

Speed =   45 x
 5 18
m/sec =
 25 2
m/sec.

Total distance covered = (360 + 140) m = 500 m.

Required time =   500 x
 2 25
sec = 40 sec.

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