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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 01 Aug 2007, 07:20
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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 1 1/2 times as fast, the trip would have taken two hours.

This is supposed to be enough.

The explanation states that Betty's driving rate is 3/2R.

I don't understand how this would translate to 2/3t for distance.

How do you get 2/3 for distance?

Thanks.
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Re: DS: Help me understand the explanation. [#permalink] New post 01 Aug 2007, 08:01
gablaze23 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 1/2 times as fast, the trip would have taken two hours.

This is supposed to be enough.

The explanation states that Betty's driving rate is 3/2R.

I don't understand how this would translate to 2/3t for distance.

How do you get 2/3 for distance?

Thanks.


Avg. speed R.
Distance d.
Time t.

So, d = Rt

Now, Avg. speed = 3/2R
Time = 2
So, d = (3/2)R*2 = 3R

Since distance is same, 3R=Rt
t=3. So, sufficient.
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Re: DS: Help me understand the explanation. [#permalink] New post 04 Aug 2007, 08:58
gablaze23 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 1/2 times as fast, the trip would have taken two hours.

This is supposed to be enough.

The explanation states that Betty's driving rate is 3/2R.

I don't understand how this would translate to 2/3t for distance.

How do you get 2/3 for distance?

Thanks.


Could you please post the complete question.. Thnx.
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 [#permalink] New post 05 Aug 2007, 01:24
what is the source of this question? it looks vaguely familiar to me.
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Re: DS: Help me understand the explanation. [#permalink] New post 05 Aug 2007, 02:37
gablaze23 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 1/2 times as fast, the trip would have taken two hours.

This is supposed to be enough.

The explanation states that Betty's driving rate is 3/2R.

I don't understand how this would translate to 2/3t for distance.

How do you get 2/3 for distance?

Thanks.


Suppose the distance is d and the average speed is v. We need to find d/v and we are given that d/(3v/2)=2. We can find d/v by multiplying both sides of the equation by 2/3
Re: DS: Help me understand the explanation.   [#permalink] 05 Aug 2007, 02:37
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