The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance form A to C?
I 11
II 1
III 7
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, or III.
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The distance from town A to town B is five miles. C is six
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rintoo22
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Answer E. In my opinion.The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance form A to C?
I 11
II 1
III 7
Traingle Inequality rule satify for option III. And I and II can be on the same line.
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GMATGuruNY
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Case 1: In triangle ABC, AB=5 and BC = 6varun289 wrote:The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance form A to C?
I 11
II 1
III 7
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, or III.
Here, the length of AC must be LESS THAN THE SUM of other two sides and GREATER THAN THE DIFFERENCE of the other two sides:
6-5 < AC < 6+5
1 < AC < 11.
Thus, it's possible that AC = 7.
Eliminate any answer choice that does not include III (A, B and C).
Case 2: A <--5 miles--> B <--6 miles--> C
Here, AC = 5+6 = 11 miles.
Eliminate D, which does not include I.
The correct answer is E.
In the following case, AC=1:
C <--1 mile--> A <--5 miles--> B.
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srcc25anu
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For Option 1 and 2 see attached below.
For option 3, if A, B and C form a triangle, then 3rd side is less than sum of other 2 sides and 3rd side is greater than difference of other 2 sides. Following this rule, distance from A to C could be anywhere from (6-5) 1 to (6+5) 11
Hence E
For option 3, if A, B and C form a triangle, then 3rd side is less than sum of other 2 sides and 3rd side is greater than difference of other 2 sides. Following this rule, distance from A to C could be anywhere from (6-5) 1 to (6+5) 11
Hence E
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