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# A train running at 25 km/hr takes 18 seconds to pass a platf

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Joined: 02 Mar 2013
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A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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24 Jun 2013, 23:28
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95% (hard)

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3% (04:15) correct 97% (02:36) wrong based on 59 sessions

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A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.

a) 200/3m & 175/3m
b) 100m & 50m
c) 50m & 45m
d) 100/3 m & 200/3
e) none of these

Answer is given as 100m & 25 m. I doubt whether that is correct.
##### Most Helpful Community Reply
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Joined: 14 Dec 2012
Posts: 747
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
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Re: A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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25 Jun 2013, 03:40
4
1
abusaleh wrote:
A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.

a) 200/3m & 175/3m
b) 100m & 50m
c) 50m & 45m
d) 100/3 m & 200/3
e) none of these

Answer is given as 100m & 25 m. I doubt whether that is correct.

IMO A

25Km/hr=25*5/18 m/s
5km/hr=5*5/18 m/s

given it takes train 12 sec to cross the man running with 5*5/18m/s in same direction
therefore
length of train =((25-5)*5/18)*12=200/3 m

now lets suppose platform length be X m .
now when train completely rosses the platform the distance covered=length of train+length of platform=200/3+X
SPEED *TIME= DIST
(25*5/18)*18=200/3+X
on solving X=175/3 m

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##### General Discussion
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Joined: 13 May 2013
Posts: 421
Re: A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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07 Aug 2013, 13:43
1
A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.

Distance = Speed*time
It's probably best to convert to meters so we can find the length of the platform.
Distance = 25000 meters/h * 18 seconds*(1/60*60)
Distance =(25000*18 / [3600] ) = 125m

I'm not sure how we take the length of the train into account (if we do at all) to solve this problem. For example, If we were measuring by the time the very front of the train passed one end of the platform to the time the very front of the train passed the other end, the result would be different than if we counted when the very front of the train passed one end of the platform to the time the back side of the train passed the end.

As for the problem involving the man, the man is moving forward at a speed of 5km/h while the train is moving forward at a speed of 25km/h. Therefore, the train is moving past the man at a total speed of 20km/h.

distance = speed * time
distance = 20km/h * 12 seconds
distance (length of train) = 66.6 m

We know the length of the train is roughly 66.6m and the distance covered passing the platform was 125m. However, The platform isn't 125m long - it is 125m minus the length of the train long (or so I think) which is 125-66.6 or roughly 59m. Both of these answers are in A so I think that is the right answer. I am still having a bit of trouble conceptualizing why we have to subtract out the length of the train, however.

ANSWER: a) 200/3m & 175/3m
Senior Manager
Joined: 10 Jul 2013
Posts: 313
Re: A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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10 Aug 2013, 01:57
1
abusaleh wrote:
A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.

a) 200/3m & 175/3m
b) 100m & 50m
c) 50m & 45m
d) 100/3 m & 200/3
e) none of these

Answer is given as 100m & 25 m. I doubt whether that is correct.

T = (25-5) × 12/3600 = 20/300 Km = 1/15 Km = 1000/15 m = 200/3 m
T+P = 25 × 18/3600 = 25/200 km = 125m
or, P = 125 - 200/3 = 175/3 m
So Answer (A)
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Re: A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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19 Aug 2013, 09:42
2
abusaleh wrote:
A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.

a) 200/3m & 175/3m
b) 100m & 50m
c) 50m & 45m
d) 100/3 m & 200/3
e) none of these

Answer is given as 100m & 25 m. I doubt whether that is correct.

Hi Math gurus correct me if I am wrong. I wondered i reached the answer mentioned here i.e 100m and 25m

lets solve it
To find out length of train the train, which is must cover the static point of the man as well as the distance covered the man during 12 sec.

The man covered the distance during 12sec is 5*5/18*12=50/3m so the train covered a distance in 12 sec= 25*5/18*12=250/3
so the length of the train(Lt) is 50/3+250/3=100m

Now crossing the platform means length of train+length of platform(Lt+p)= 18*25*5/18=125m Now the length of platform (Lp) is= 125-100=25m

So answer is 100m and 25m Must be "B" even though its mentioned 100m and 50m thinking so typo mistake...........

Rgds
Prasannajeet

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Re: A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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26 Nov 2013, 01:28
Is this a GMAT question?
If yes, please tell the Level & time required to solve it?
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Re: A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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14 Oct 2018, 23:39
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Re: A train running at 25 km/hr takes 18 seconds to pass a platf   [#permalink] 14 Oct 2018, 23:39
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# A train running at 25 km/hr takes 18 seconds to pass a platf

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