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

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

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New post 24 Jun 2013, 23:28
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Question Stats:

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

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New post 25 Jun 2013, 03:40
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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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Re: A train running at 25 km/hr takes 18 seconds to pass a platf  [#permalink]

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New post 07 Aug 2013, 13:43
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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.

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

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New post 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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New post 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...........

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

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New post 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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New post 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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