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

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Director
Joined: 09 Aug 2006
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On a certain day it took Bill three times as long to drive [#permalink]  19 May 2007, 10:30
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Q. 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.

I am basically not able to comprehend the underlined part..
Current Student
Joined: 22 Apr 2007
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[#permalink]  19 May 2007, 10:36
The wording of the questions isn't good

Tb = 3 Ts
(1)
Ds = 10
Ds/Ts = Db/Tb (In other words, the speed is the same)
=> Ds/Db = Ts/Tb = 1/3
=> Db = 3Ds

Sufficient

(2)
Ds/Ts = 64

Insufficient

So, A is the answer?
Director
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[#permalink]  19 May 2007, 19:49
Nope the OA is E.
Intern
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DS [#permalink]  19 May 2007, 20:33
Why answer is not (C)

(2) gives the velocity of Sue as 64 kmph
and
(1) says Sue drove 10 km
(1) also says Sue and Bill have same velocity.

From (1) and (2), For Sue, s = 10, v = 64 kmph, so t = s/v = 10/64 hrs

Bill took 3 times as long as Sue, 3 * 10/64 = 30/64 hour.

so Bill travelled s = vt = 64 * 30 / 64 = 30 km.

Did i miss something?
Current Student
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[#permalink]  19 May 2007, 23:57
Well then perhaps I am not understanding what the question is trying to say.
Director
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[#permalink]  20 May 2007, 02:56
What I get from statement1 is - the speed of BILL and SUE are same. If BILL takes 3 times longer as SUE takes to reach home to work, that means the BILL drove three times the distance SUE drove. Hence BILL drove 30 kms.
This looks SUFF.

Statment2 is INSUFF

Answer should be 'A'.
Can somebody justify the OA.
Director
Joined: 09 Aug 2006
Posts: 525
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[#permalink]  20 May 2007, 07:19
I wish to discard this question for improper wording.. What say guys ..??
[#permalink] 20 May 2007, 07:19
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