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Problems on Trains

Discuss Problems on Trains within the Quant forums, part of the CAT, XAT, MAT, CET, JMET and other Indian MBA Entrance Exams category; Hi, The most common questions in quant section are asked about Train speed, distance etc. Let's have a thread where ...

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Tarun Bhardwaj
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Problems on Trains - July 17th, 2013

Hi,

The most common questions in quant section are asked about Train speed, distance etc. Let's have a thread where we shall discuss problems on Trains.

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
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Re: Problems on Trains - July 18th, 2013

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



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Re: Problems on Trains - July 19th, 2013

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



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Re: Problems on Trains - July 21st, 2013

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



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Re: Problems on Trains - January 11th, 2016

Quote:
Originally Posted by tarunceo View Post
Hi,

The most common questions in quant section are asked about Train speed, distance etc. Let's have a thread where we shall discuss problems on Trains.

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 * 5/18}m/sec = {50/3}m/sec
Length of the train = (speed * Time) = {50/3 * 9}m = 150m
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Jiten Mazee
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Re: Problems on Trains - January 11th, 2016

Quote:
Originally Posted by tarunceo View Post
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

Let the length of each train be x metres.

Then, distance covered = 2x metres.

Relative speed = (46 - 36) km/hr

= (10 * 5/18)m/sec
= (25/9)m/sec
so that 2x/36 = 25/9
2x = 100
x = 50
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Re: Problems on Trains - January 11th, 2016

Quote:
Originally Posted by tarunceo View Post
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 * 5/18)m/sec = (25/2)m/sec
Time = 30 sec
Let the length of bridge be x metres.
Then, (130 + x)/30 = 25/2
= 2 (130 + x) = 750
x = 245m
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Jiten Mazee
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jitenmazee
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Re: Problems on Trains - January 11th, 2016

Quote:
Originally Posted by tarunceo View Post
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

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)/ x+y = 23
27x + 17y = 23x + 23y
4x = 6y
x/y = 3/2
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