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How far is it from town A to town B? Town C is 12 miles east of town A

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How far is it from town A to town B? Town C is 12 miles east of town A  [#permalink]

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24 Oct 2017, 22:50
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Difficulty:

25% (medium)

Question Stats:

83% (01:12) correct 17% (00:57) wrong based on 45 sessions

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How far is it from town A to town B? Town C is 12 miles east of town A.

(1) Town C is south of town B.
(2) It is 9 miles from town B to town C.

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Re: How far is it from town A to town B? Town C is 12 miles east of town A  [#permalink]

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25 Oct 2017, 02:44
(1) no information about the values
(2) no info about the direction, it can be east, west or north.
(1)+(2)
Pythagorean theorema:
12^2+9^2=225
A to B=225^1/2=15

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Re: How far is it from town A to town B? Town C is 12 miles east of town A  [#permalink]

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25 Oct 2017, 03:11
Option C

From st1 we don’t have any idea about the distance btw A and B
From st2 we got the distance btw B and C but no clue about A and B

Combining we can form a right triangle and the distance is 15 miles between A and B

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Re: How far is it from town A to town B? Town C is 12 miles east of town A  [#permalink]

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31 Oct 2017, 11:09
Bunuel wrote:
How far is it from town A to town B? Town C is 12 miles east of town A.

(1) Town C is south of town B.
(2) It is 9 miles from town B to town C.

St1 gives us the direction of where B is. Basically, it tells us that Towns A, B and C form a right angle, insufficient.
St2, Now we're given the second leg of a triangle, insufficient, since we don't know if it's a right triangle.

1+2, this gives us the length of the legs and it's a right triangle.
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Re: How far is it from town A to town B? Town C is 12 miles east of town A  [#permalink]

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20 Jun 2018, 16:29
Bunuel wrote:
How far is it from town A to town B? Town C is 12 miles east of town A.

(1) Town C is south of town B.
(2) It is 9 miles from town B to town C.

Statement One Alone:

Town C is south of town B.

Since we don’t know how far south town B is from town C, we can’t determine the distance from town A to town B. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

It is 9 miles from town B and town C.

Since we don’t know what direction town B is from town C, we can’t determine the distance from town A to town B. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

With both statements, we know that town B is 9 miles south from town C. Since town C is 2 miles east of town A. By the Pythagorean theorem, we have:

9^2 + 12^2 = d^2

81 + 144 = d^2

225 = d^2

15 = d

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Re: How far is it from town A to town B? Town C is 12 miles east of town A &nbs [#permalink] 20 Jun 2018, 16:29
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