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# Quant Question - Problem Solving

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Intern
Joined: 21 Jun 2010
Posts: 6
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Quant Question - Problem Solving [#permalink]  02 Jul 2010, 22:35
00:00

Difficulty:

65% (hard)

Question Stats:

50% (01:35) correct 50% (00:53) wrong based on 12 sessions
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
[Reveal] Spoiler: OA
Intern
Status: Simply - Chasing GMAT
Joined: 04 May 2010
Posts: 27
Location: United Kingdom
Concentration: International Business, Entrepreneurship
GMAT Date: 01-30-2012
GPA: 3
WE: Consulting (Computer Software)
Followers: 0

Kudos [?]: 13 [0], given: 5

Re: Quant Question - Problem Solving [#permalink]  03 Jul 2010, 00:33
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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Manager
Joined: 22 Oct 2009
Posts: 242
GMAT 1: 760 Q49 V44
GPA: 3.88
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Re: Quant Question - Problem Solving [#permalink]  03 Jul 2010, 11:08
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.

Nicely done!
Re: Quant Question - Problem Solving   [#permalink] 03 Jul 2010, 11:08
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# Quant Question - Problem Solving

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