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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 ...

 Problems on Trains
Tarun Bhardwaj

Student of MBA at DU
Delhi, Delhi

Institute: DU
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Location: Delhi, Delhi
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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 (2 (permalink)) Tarun Bhardwaj   Student of MBA at DU Delhi, Delhi Management Paradise Newbie  Institute: DU Status: Offline Posts: 127 Join Date: Dec 2009 Location: Delhi, Delhi 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 To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts. Friends: (1)
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 (3 (permalink)) Tarun Bhardwaj   Student of MBA at DU Delhi, Delhi Management Paradise Newbie  Institute: DU Status: Offline Posts: 127 Join Date: Dec 2009 Location: Delhi, Delhi 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 To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts. Friends: (1)
 Re: Problems on Trains
 (4 (permalink)) Tarun Bhardwaj   Student of MBA at DU Delhi, Delhi Management Paradise Newbie  Institute: DU Status: Offline Posts: 127 Join Date: Dec 2009 Location: Delhi, Delhi 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 To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts. Friends: (1)
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Jiten Mazee

Student of Bachelor of Engineering at HAKIM ABDUL HAMID UNANI MEDICAL COLLEGE

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Join Date: Oct 2015
Re: Problems on Trains - January 11th, 2016

Quote:
 Originally Posted by tarunceo 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

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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 Re: Problems on Trains
Jiten Mazee

Student of Bachelor of Engineering at HAKIM ABDUL HAMID UNANI MEDICAL COLLEGE

Status: Offline
Posts: 2,649
Join Date: Oct 2015
Re: Problems on Trains - January 11th, 2016

Quote:
 Originally Posted by tarunceo 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

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
Jiten Mazee

Student of Bachelor of Engineering at HAKIM ABDUL HAMID UNANI MEDICAL COLLEGE

Status: Offline
Posts: 2,649
Join Date: Oct 2015
Re: Problems on Trains - January 11th, 2016

Quote:
 Originally Posted by tarunceo 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

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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 Re: Problems on Trains
Jiten Mazee

Student of Bachelor of Engineering at HAKIM ABDUL HAMID UNANI MEDICAL COLLEGE

Status: Offline
Posts: 2,649
Join Date: Oct 2015
Re: Problems on Trains - January 11th, 2016

Quote:
 Originally Posted by tarunceo 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

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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