Problems on Trains - General Questions (4)

25.

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:

A.	50 m
B.	72 m
C.	80 m
D.	82 m

Answer: Option A

Explanation:

Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 - 36) km/hr

=		10 x	5	m/sec
			18

=		25	m/sec
		9

	2x	=	25
	36		9

2x = 100

x = 50.

26.

A train 240 m long passes 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

Answer: Option B

Explanation:

Speed =		240	m/sec = 10 m/sec.
		24

Required time =

240 + 650

sec = 89 sec

27.

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

Answer: Option B

Explanation:

Speed =		54 x	5	m/sec = 15 m/sec.
			18

Length of the train = (15 x 20)m = 300 m.

Let the length of the platform be x metres.

Then,	x + 300	= 15
	36

x + 300 = 540

x = 240 m.

28.

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:

A.	1 : 3
B.	3 : 2
C.	3 : 4
D.	None of these

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	= 23
	x+ y

27x + 17y = 23x + 23y

4x = 6y

	x	=	3	.
	y		2

29.

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A.	200 m
B.	225 m
C.	245 m
D.	250 m

Answer: Option C

Explanation:

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

Time = 30 sec.

Let the length of bridge be x metres.

Then,	130 + x	=	25
	30		2

2(130 + x) = 750

x = 245 m.

30.

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:

A.	45 km/hr
B.	50 km/hr
C.	54 km/hr
D.	55 km/hr

Answer: Option B

Explanation:

Speed of the train relative to man =		125	m/sec
		10

=		25	m/sec.
		2

=		25	x	18	km/hr
		2		5

= 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.

31.

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.	150 metres

Answer: Option D

Explanation:

Speed =		60 x	5	m/sec	=		50	m/sec.
			18				3

Length of the train = (Speed x Time).

Length of the train =		50	x 9	m = 150 m.
		3

Problems on Trains - General Questions (4)

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