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# On a certain day it took Bill three times as long to drive

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Senior Manager
Joined: 16 Jan 2009
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Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
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WE: Sales (Telecommunications)
On a certain day it took Bill three times as long to drive [#permalink]

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18 Jun 2009, 13:16
00:00

Difficulty:

(N/A)

Question Stats:

33% (01:48) correct 67% (00:59) wrong based on 3 sessions

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On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work?
(1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day.
(2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.
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Lahoosaher

Kudos [?]: 232 [0], given: 16

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Joined: 03 Aug 2006
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Re: DS:distance driven from home to work [#permalink]

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18 Jun 2009, 14:46
Personally I find this question poorly worded. I will still give it a try but I may be wrong in its interpretation.

Let
distance from home to work for Bill = d1 and
distance from home to work for Sue = d2 and
time to travel from home to work for Sue = t

Given:
time to travel from home to work for Bill = 3t

d1=?

Statement 1:
1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day.

The wording here is confusing but this is what I understood.
$$d2 = 10 kms$$

Also

$$\frac{t}{d2}=\frac{3t}{d1}$$

$$\Rightarrow \frac{t}{10}=\frac{3t}{d1}$$

$$\Rightarrow d1=\frac{10 \times 3t}{t} = 30$$

Sufficient

Statement 2
(2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.

Again the wording is bad but it seems to be saying

$$\frac{t}{d2} = \frac{1}{64}$$

or the other way round. Anyway this does not seem to give us any relationship to Bill hence Not sufficient.

Kudos [?]: 305 [0], given: 3

Senior Manager
Joined: 16 Jan 2009
Posts: 354

Kudos [?]: 232 [0], given: 16

Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Re: DS:distance driven from home to work [#permalink]

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18 Jun 2009, 14:52
Thanks a lot for the explanation nookway.
OA is
[Reveal] Spoiler:
A

I have copied the problem as it is. The wording is confusing a bit.
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Lahoosaher

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Re: DS:distance driven from home to work [#permalink]

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18 Jun 2009, 16:56
Wording just sucked. I interpreted it in the same way

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Re: DS:distance driven from home to work   [#permalink] 18 Jun 2009, 16:56
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