Submarine \(A\) and Submarine \(B\) are equipped with sonar devices that can operate within a 3,000 yard range.

[M7MBA]

Submarine \(A\) and Submarine \(B\) are equipped with sonar devices that can operate within a 3,000 yard range. Submarine \(A\) remains in place while Submarine \(B\) moves 2,400 yards south from Submarine \(A.\) Submarine \(B\) then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine \(B\) continue to move and still be within the sonar range of Submarine \(A?\)

I. North
II. South
III. West

A) I only
B) II only
C) I and II only
D) II and III only
E) I and III only

[spoiler]OA=E[/spoiler]

Source: Veritas Prep

[Jay@ManhattanReview]

Submarine \(A\) and Submarine \(B\) are equipped with sonar devices that can operate within a 3,000 yard range. Submarine \(A\) remains in place while Submarine \(B\) moves 2,400 yards south from Submarine \(A.\) Submarine \(B\) then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine \(B\) continue to move and still be within the sonar range of Submarine \(A?\)

I. North
II. South
III. West

A) I only
B) II only
C) I and II only
D) II and III only
E) I and III only

[spoiler]OA=E[/spoiler]

See the attached image. The position of Submarine B from Submarine A is 3,000 yards. So, if Submarine B moves North or West, its distance from Submarine A would be less than 3,000 yards. However, if it moves to South or East, the distance would be greater than 3,000 yards, greater than the range, which is not wanted.

The correct answer: E

Hope this helps!

-Jay
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Source: Veritas Prep