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A train of length L is traveling at a constant velocity and passes a [#permalink]

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02 Jul 2010, 23:35

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A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3t seconds then what is the length of the platform:

Re: A train of length L is traveling at a constant velocity and passes a [#permalink]

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03 Jul 2010, 01:33

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A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3t seconds then what is the length of the platform: A) 0.5 L B) L C) 1.5 L D) 2 L E) 3 L

Sol: Length of train=Distance=L time to cross the pole=time=t so speed=L/t

new time=3t. so distance travelled= 3t*L/t = 3L

the distance is equal to train length L+platform length = 3L so platform is 2L. ans is D. _________________

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Re: A train of length L is traveling at a constant velocity and passes a [#permalink]

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03 Jul 2010, 12:08

appy001 wrote:

A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3t seconds then what is the length of the platform: A) 0.5 L B) L C) 1.5 L D) 2 L E) 3 L

Sol: Length of train=Distance=L time to cross the pole=time=t so speed=L/t

new time=3t. so distance travelled= 3t*L/t = 3L

the distance is equal to train length L+platform length = 3L so platform is 2L. ans is D.

Ahh - very sneaky question! It's easy to forget that the entire train has to pass by the platform, so it travels the extra L distance.

Re: A train of length L is traveling at a constant velocity and passes a [#permalink]

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31 Oct 2014, 23:47

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Re: A train of length L is traveling at a constant velocity and passes a [#permalink]

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01 Nov 2014, 05:40

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shamikba wrote:

A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3t seconds then what is the length of the platform: A) 0.5 L B) L C) 1.5 L D) 2 L E) 3 L

Re: A train of length L is traveling at a constant velocity and passes a [#permalink]

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20 Dec 2014, 21:38

Length of pole is assumed 0. From case 1 we get the speed of the train =L/t In case 2 we need distance =speed x time =L/t x 3t=3L, but this 3L is the total distance inclusive of the length of the train which is L. so length of the platform =3L-L=2L. Hope this explanation helps.

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24 Jan 2016, 09:01

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3t seconds then what is the length of the platform:

A) 0.5 L B) L C) 1.5 L D) 2 L E) 3 L

Look at the question logically:

"A train of length L is traveling at a constant velocity and passes a pole in t seconds" To cross a pole (which can be considered a point), why does the train take t secs? Because the whole length of the train has to cross it.

" If the same train travelling at the same velocity passes a platform in 3t seconds" Why does the train take extra 2t secs now? Because of the length of the platform. So the length of the platform must be 2L.

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