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How long did it take Betty to drive nonstop on a trip from

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How long did it take Betty to drive nonstop on a trip from [#permalink] New post 04 Jun 2008, 03:03
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How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado?

(1) If Betty's average speed for the trip had been 3/2 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.

OPEN DISCUSSION OF THIS QUESTION IS HERE: how-long-did-it-take-betty-to-drive-nonstop-on-a-trip-from-h-167041.html
[Reveal] Spoiler: OA
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Re: Powerprep DS [#permalink] New post 04 Jun 2008, 03:38
A.

1 alone is sufficient, while 2 alone is not.
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Re: Powerprep DS [#permalink] New post 04 Jun 2008, 03:59
lionheart187 wrote:
How long did it take Betty to drive nonstop on a trip from her home to Denver Colorado?
(1) If Betty's average speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.

A is the answer.
Time taken is 3 hours
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Re: Powerprep DS [#permalink] New post 04 Jun 2008, 05:10
lionheart187 wrote:
How long did it take Betty to drive nonstop on a trip from her home to Denver Colorado?
(1) If Betty's average speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.


A is suff.


Test numbers


1: S=10. Thus D/(15)=2 ---> D=30. Thus 30/10 =3hrs

2: S=20 Thus D/(30)=2 ---> D=60

Thus 60/20 = 3hrs
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Re: Powerprep DS [#permalink] New post 04 Jun 2008, 07:18
lionheart187 wrote:
How long did it take Betty to drive nonstop on a trip from her home to Denver Colorado?
(1) If Betty's average speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.


D=Speet*time

D=S*T

1)
D=1.5(s)*2

3S=ST, solve for T, T=3 hrs..

B) insuff..

A it is..
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Re: Powerprep DS [#permalink] New post 04 Jun 2008, 07:47
lionheart187 wrote:
How long did it take Betty to drive nonstop on a trip from her home to Denver Colorado?
(1) If Betty's average speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.



Statement 1 is sufficent
Statement 2 is insufficent because only average speed of to and fro is given. there are no indicators on what was the distance or time taken for the trip one way or for round trip

so A is the answer
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Re: Powerprep DS [#permalink] New post 03 Oct 2011, 21:44
FN wrote:
lionheart187 wrote:
How long did it take Betty to drive nonstop on a trip from her home to Denver Colorado?
(1) If Betty's average speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.


D=Speet*time

D=S*T

1)
D=1.5(s)*2

3S=ST, solve for T, T=3 hrs..

B) insuff..

A it is..



Statement 1 says that if Betty' speed has been 1 1/2 times as fast , the trip would have taken 2 hours...

Doesnt it mean Is 'S' was original speed new speed = s + 1 1/2 S = 5/2 S and not 1.5 S????

Last edited by siddhans on 04 Oct 2011, 10:13, edited 1 time in total.
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Re: Powerprep DS [#permalink] New post 04 Oct 2011, 10:12
FN wrote:
lionheart187 wrote:
How long did it take Betty to drive nonstop on a trip from her home to Denver Colorado?
(1) If Betty's average speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.


D=Speet*time

D=S*T

1)
D=1.5(s)*2

3S=ST, solve for T, T=3 hrs..

B) insuff..

A it is..



Statement 1 says that if Betty' speed has been 1 1/2 times as fast , the trip would have taken 2 hours...

Doesnt it mean Is 'S' was original speed new speed = s + 1 1/2 S = 5/2 S and not 1.5 S????
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Re: Powerprep DS [#permalink] New post 04 Oct 2011, 10:23
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1.5 times as fast= 1.5x
1.5 times faster= x+1.5x
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Re: How long did it take Betty to drive nonstop [#permalink] New post 05 Oct 2011, 02:59
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Expert's post
lionheart187 wrote:
How long did it take Betty to drive nonstop on a trip from her home to Denver Colorado?
(1) If Betty's average speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.


You can also use ratios.

1.5 times as fast means that if Betty's speed was 2s actually, 1.5 times would mean 3s. The ratio of actual speed : hypothetical (increased) speed = 2:3
Therefore, ratio of actual time : hypothetical time = 3:2
(because time is inversely proportional to speed)

The hypothetical time has been given to be 2 hrs. So the actual time must be 3 hrs.
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Re: How long did it take Betty to drive nonstop on a trip from [#permalink] New post 02 Apr 2014, 03:40
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Re: How long did it take Betty to drive nonstop on a trip from [#permalink] New post 02 Apr 2014, 03:50
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How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado?

Time = Distance/Rate ?

(1) If Betty's average speed for the trip had been 3/2 times as fast, the trip would have taken 2 hours.

(3/2*Rate)*2 = Distance;

Distance/Rate = 3. Sufficient.

(2) Betty's average speed for the trip was 50 miles per hour. Only the rate is clearly not sufficient, to get the time. Not sufficient.

Answer: A.

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OPEN DISCUSSION OF THIS QUESTION IS HERE: how-long-did-it-take-betty-to-drive-nonstop-on-a-trip-from-h-167041.html
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Re: How long did it take Betty to drive nonstop on a trip from   [#permalink] 02 Apr 2014, 03:50
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