Help: Flashcard GMAT problem

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Help: Flashcard GMAT problem [#permalink]

18 Apr 2011, 22:25

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Question Stats:

12% (01:06) correct

87% (00:52) wrong

based on 0 sessions

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.

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Re: Help: Flashcard GMAT problem [#permalink]

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]

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]

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]

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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