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Distance description in PS

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New post 13 Dec 2019, 23:00
Hey Everyone,

Came across this description in one of the PS questions.

"A is twice as far as from B as from C" Does this means AC = 2AB? Or the other way around?

Appreciate your help.
Sally
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Re: Distance description in PS  [#permalink]

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New post 14 Dec 2019, 20:09
Hi Sally,

With these types of 'translations', there are likely only two possible ways to interpret what you're reading (and one is correct, while the other is incorrect).

"A is twice as far as from B as from C"

Which of the two options is the correct one?:
AB = 2(AC)
AC = 2(AB)

Here's how to know for sure: TEST VALUES.

If the distance from A to C is 1 mile.....
then we know that the distance from A to B is TWICE that.... so 2 miles

When you plug in those numbers (re: AC = 1 and AB = 2), which equation is correct? That's the one that uses the correct translation.

It's AC = 2(AB)


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Re: Distance description in PS  [#permalink]

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New post 16 Dec 2019, 21:03
SallyLi wrote:
Hey Everyone,

Came across this description in one of the PS questions.

"A is twice as far as from B as from C" Does this means AC = 2AB? Or the other way around?

Appreciate your help.
Sally


It might be helpful to break the sentence down. First, we are told that "A is twice as far from B". This tells us that the distance between A and B is twice of something. But what? That's in the second part: "as from C" i.e. "compared to the distance between A and C"

So, if the distance between A and C is x, then the distance between A and B is twice that, which is 2x. So, |AB| = 2x = 2|AC|.
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Re: Distance description in PS   [#permalink] 16 Dec 2019, 21:03
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