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Help: Flashcard GMAT problem

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Help: Flashcard GMAT problem [#permalink]

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New post 18 Apr 2011, 22:25
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

9% (00:06) correct 91% (00:45) wrong based on 11 sessions

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A swimmer makes a round trip up and down the
river which takes her X hours. If the next day she
swims the same distance with the same speed in
still water, which takes her Y hours, which of the
following statements is true?
 X>Y
 X<Y
 X=Y
 X= 1.5 Y


I really need help for that one, as for me no assumptions can be made. How do we know that in the first situation the swimmer is faster?


Thanks in advance.
[Reveal] Spoiler: OA

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Re: Help: Flashcard GMAT problem [#permalink]

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New post 18 Apr 2011, 22:40
Discussed here. OA here seems to be incorrect.

m03-q-71568.html
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Re: Help: Flashcard GMAT problem [#permalink]

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New post 18 Apr 2011, 22:56
ravsg wrote:
Discussed here. OA here seems to be incorrect.

m03-q-71568.html


Thanks ravsg for pointing to the right thread. Really appreciated.

Also discussed here:
m03-111523.html
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Re: Help: Flashcard GMAT problem [#permalink]

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New post 18 Apr 2011, 23:34
The answer should be A.

Y = 2D/V


X = D/(V-p) + D/(V+p)

p -> Speed of river

D(V+p + V -p)
-------------
V^2 - p^2

= 2DV/(V^2 - p^2)

Y - X = 2D/V - 2DV/(V^2 - p^2)

=2D( V^2 - p^2 - V^2)/(V^2 - p^2)


= -p^2D/(V^2 - p^2) which is negative

Answer - A
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Re: Help: Flashcard GMAT problem [#permalink]

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New post 30 Apr 2011, 20:44
D= 10, Swimmer speed = a = 2 and still water speed = 1
x = 10/(2-1) + 10/(2+1)
= 13.33
y = 10/2 + 10/2
= 10

x>y.
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Re: Help: Flashcard GMAT problem   [#permalink] 30 Apr 2011, 20:44
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