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Jody and Dianne went on a cross-county hike of over 1 mile.

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Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 13 Dec 2015, 05:26
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Jody and Dianne went on a cross-county hike of over 1 mile. Which one walked further?

(1) Dianne walked \(\frac{3}{4}\) as many miles as Jody.

(2) After Jody stopped walking, Dianne kept walking until she had gone 9 miles.
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Re: Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 15 Dec 2015, 01:15
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Mechmeera wrote:
Jody and Dianne went on a cross-county hike of over 1 mile. Which one walked further?

(1) Dianne walked \(\frac{3}{4}\) as many miles as Jody.

(2) After Jody stopped walking, Dianne kept walking until she had gone 9 miles.



Hi,
the Q tells us that "Jody and Dianne went on a cross-county hike of over 1 mile.".. no info on speed and dist - total or separately..

1) Dianne walked \(\frac{3}{4}\) as many miles as Jody...
This statement clearly tells us tyaht dianne walked less than Jody.. suff

2) After Jody stopped walking, Dianne kept walking until she had gone 9 miles.
its easy to be tempted to take this too suff..
However, we just know that Dianne kept walking for another nine miles after Jody stopped..
But we do not know how much each had travelled by then or what was the difference in their speed..
so it may be possible .. Dianne is very slow and has travelled only 2 miles, by when Jody had travelled 15 miles and stopped.. here Jody has travelled more.

but say both had a gap of less than 9 miles with either ahead, Dianne would have travelled more in the end


ans A
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Re: Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 17 Dec 2015, 11:51
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Statement 1 means Dianne walked 3/4th of Jody's distance. That's Dianne walking less further than Jody. 1 is sufficient

Statement 2 does not draw any relation between D and J's distance or speed. Insufficient.

Hence, A
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Re: Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 29 Jan 2016, 04:24
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Guys

I didnt understand the first statement

1) What if Jody walked 1/3rd mile then Dianne has walked 3/4 (1/3) = 1/4 mile less than Jody.. so how are we concluding statement I is sufficient?
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Re: Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 29 Jan 2016, 10:26
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seemachandran wrote:
Guys

I didnt understand the first statement

1) What if Jody walked 1/3rd mile then Dianne has walked 3/4 (1/3) = 1/4 mile less than Jody.. so how are we concluding statement I is sufficient?



if v consider total distance together the distance has to be more that 1 mile. 1/4+1/3<1 mile
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Re: Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 29 Jan 2016, 10:32
Only A says about the who walked further. II statement cannot give out any information on the distance Jody walked.
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Re: Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 29 Jan 2016, 11:11
Thanks Robu & Somsat99, got it!!
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Re: Jody and Dianne went on a cross-county hike of over 1 mile.  [#permalink]

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New post 03 Apr 2018, 09:53
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Nevernevergiveup wrote:
Jody and Dianne went on a cross-county hike of over 1 mile. Which one walked further?

(1) Dianne walked \(\frac{3}{4}\) as many miles as Jody.

(2) After Jody stopped walking, Dianne kept walking until she had gone 9 miles.


Target question: Which person walked further?

Statement 1: Dianne walked 3/4 as many miles as Jody.
Well, that's pretty useful.
Clearly, Jody walked further
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: After Jody stopped walking, Dianne kept walking until she had gone 9 miles.
There are several scenarios that satisfy statement 2. Here are two:
Case a: Jody walked 1 miles, and Dianne walked 9 miles, in which case Dianne walked further
Case b: Jody walked 10 miles, and Dianne walked 9 miles, in which case Jody walked further
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Note: We cannot assume that Jody and Dianne hiked together. It's possible that, after the first hour, Jody had walked 10 miles and Dianne had walked 1 mile. Then Jody quit walking and Dianne walked another 8 miles.

Answer: A

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Brent
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Re: Jody and Dianne went on a cross-county hike of over 1 mile. &nbs [#permalink] 03 Apr 2018, 09:53
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